The following combination of Psychonaut's answer to Author name of \textcite as possessive (with minor modifications applied by me, the answer was based on another answer by Audrey) and Audrey's answer to hyperlink name with biblatex authoryear (biblatex 1.4b) works a treat for me
\documentclass{report}
\usepackage[style=authoryear]{biblatex}
\usepackage{hyperref}
% Just for demo
\ExecuteBibliographyOptions{maxcitenames=1}
\DeclareFieldFormat{citehyperref}{%
\DeclareFieldAlias{bibhyperref}{noformat}% Avoid nested links
\bibhyperref{#1}}
\DeclareFieldFormat{textcitehyperref}{%
\DeclareFieldAlias{bibhyperref}{noformat}% Avoid nested links
\bibhyperref{%
#1%
\ifbool{cbx:parens}
{\bibcloseparen\global\boolfalse{cbx:parens}}
{}}}
\savebibmacro{cite}
\savebibmacro{textcite}
\renewbibmacro*{cite}{%
\printtext[citehyperref]{%
\restorebibmacro{cite}%
\usebibmacro{cite}}}
\renewbibmacro*{textcite}{%
\ifboolexpr{
( not test {\iffieldundef{prenote}} and
test {\ifnumequal{\value{citecount}}{1}} )
or
( not test {\iffieldundef{postnote}} and
test {\ifnumequal{\value{citecount}}{\value{citetotal}}} )
}
{\DeclareFieldAlias{textcitehyperref}{noformat}}
{}%
\printtext[textcitehyperref]{%
\restorebibmacro{textcite}%
\usebibmacro{textcite}}}
\DeclareNameFormat{labelname:poss}{% Based on labelname from biblatex.def
\ifcase\value{uniquename}%
\usebibmacro{name:family}
{\namepartfamily}
{\namepartgiven}
{\namepartprefix}
{\namepartsuffix}%
\or
\ifuseprefix
{\usebibmacro{name:given-family}
{\namepartfamily}
{\namepartgiveni}
{\namepartprefix}
{\namepartsuffixi}}
{\usebibmacro{name:given-family}
{\namepartfamily}
{\namepartgiveni}
{\namepartprefixi}
{\namepartsuffixi}}%
\or
\usebibmacro{name:given-family}
{\namepartfamily}
{\namepartgiven}
{\namepartprefix}
{\namepartsuffix}%
\fi
\usebibmacro{name:andothers}%
\ifnumequal{\value{listcount}}{\value{liststop}}{'s}{}}
\DeclareFieldFormat{shorthand:poss}{%
\ifnameundef{labelname}{#1's}{#1}}
\DeclareFieldFormat{citetitle:poss}{\mkbibemph{#1}'s}
\DeclareFieldFormat{label:poss}{#1's}
\newrobustcmd*{\posscitealias}{%
\AtNextCite{%
\DeclareNameAlias{labelname}{labelname:poss}%
\DeclareFieldAlias{shorthand}{shorthand:poss}%
\DeclareFieldAlias{citetitle}{citetitle:poss}%
\DeclareFieldAlias{label}{label:poss}}}
\newrobustcmd*{\posscite}{%
\posscitealias%
\textcite}
\newrobustcmd*{\Posscite}{\bibsentence\posscite}
\newrobustcmd*{\posscites}{%
\posscitealias%
\textcites}
\renewcommand{\baselinestretch}{1.2}
\setlength{\parskip}{\smallskipamount}
\setlength{\parindent}{0pt}
\addbibresource{biblatex-examples.bib}
\begin{document}
\null\vfill
\textbf{Single citations}
Filler text \posscite{aristotle:poetics}. Filler text \posscite{kant:ku} \\
Filler text \posscite[See][23]{aristotle:poetics}.
Filler text \posscite[1--10]{kant:ku}. \\
\posscite{aristotle:poetics} and \posscite{kant:ku}.
\posscite[e.g.][]{aristotle:poetics} and \textcite[10]{kant:ku}. \\
Filler text.\posscite[23]{aristotle:poetics} Filler text.\posscite[1--10]{aristotle:rhetoric}
Filler text.\footnote{\smartcite[10--15]{companion}}
\textbf{Unqualified citation lists}
\posscite{aristotle:poetics,aristotle:rhetoric} \\
\posscite[e.g.][]{aristotle:poetics,aristotle:rhetoric} \\
\posscite[10--15]{aristotle:poetics,aristotle:rhetoric} \\
\posscite[e.g.][10--15]{aristotle:poetics,aristotle:rhetoric} \\
\posscite[See][for example]{aristotle:poetics,aristotle:rhetoric}
\textbf{Qualified citation lists}
\posscites{aristotle:poetics}{aristotle:rhetoric} \\
\posscites(See)(){aristotle:poetics}[cf.][]{aristotle:rhetoric} \\
\posscites(See)()[10]{aristotle:poetics}[10]{aristotle:rhetoric} \\
\posscites(See)()[10--15]{aristotle:poetics}[cf.][10]{aristotle:rhetoric} \\
\posscites(See)()[e.g.][10--15]{aristotle:poetics}[cf.][10]{aristotle:rhetoric} \\
\posscites(See)()[10--15]{aristotle:poetics}[cf.][10]{aristotle:rhetoric}
\textbf{Mix of qualified and unqualified citation lists}
\posscites(See)()[e.g.][]{aristotle:poetics}[10]{bertram,companion} \\
\posscites[e.g.][]{aristotle:poetics,aristotle:rhetoric}[10]{companion} \\
\posscites[10]{aristotle:poetics,aristotle:rhetoric}[cf.][]{bertram} \\
\posscites[15]{aristotle:poetics}[cf.][10]{bertram,companion}
\printbibliography
\end{document}

biblatex-chicagooffers a\gentextciteout of the box. – gusbrs May 10 '18 at 19:34possessivecitecame from https://tex.stackexchange.com/a/22279/105447? If so, why were the other answers not sufficient for you? – gusbrs May 10 '18 at 19:35\usepackage[bibstyle=authoryear, citestyle=authoryear, backend=bibtex8]{biblatex}2. Yes, it came from tex.stackexchange.com/a/22279/105447. Maybe, it is sufficient, but I couldn't manage to connect the solution to hyperref, so that it's displayed as a link. And I thought maybe there is a solution more straight forward. I will check out\gentextcite.hyperref(as I assume you already do). If you don't have a really, really old biblatex version, take the care to use Psychonaut's version of Audrey's answer. – gusbrs May 10 '18 at 19:52