The solution will be different depending on whether you use unicode-math or legacy 7-bit math fonts. Here is a solution that uses unicode-math if the engine supports it, and otherwise falls back to the font you specified:
\documentclass{article}
\usepackage{iftex} % For /iftutex
\usepackage[paperwidth=10cm]{geometry} % To format this MWE for TeX.SX
\pagestyle{empty}
\iftutex
% LuaTeX or XeTeX
\usepackage{unicode-math}
\setmathfontface\altgrfont{AntykwaTorunskaMed-Italic.otf}[Scale=MatchLowercase]
\newcommand{\kronecker}{\altgrfont{δ}}
\else
% PDFTeX
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc} % The default since 2018
\usepackage{amsmath}
\DeclareSymbolFont{altgr}{OML}{antt}{m}{it}
\DeclareMathSymbol{\kronecker}{\mathord}{altgr}{"0E}
\fi
\begin{document}
\begin{tabular}{c c c}
Kronecker delta & \texttt{{\textbackslash}delta} & \texttt{{\textbackslash}partial} \
(\kronecker) & (\delta) & (\partial)
\end{tabular}
\end{document}

In PDFTeX, you can change the family name to get another font, or even change OML to LGR to use a LGR-encoded font. if you don’t want to waste one of your limited number of math alphabets on this one symbol, you could instead switch to \textnormal and generate it with text-mode commands, e.g. \usefont followed by \symbol.
You would need one extra line of code in each case to declare a bold version, which you might for example use in a bold header.
\deltathe nr. 228:\symbol{228}. – Sebastiano Jul 25 '20 at 15:15\usepackage{anttor}the font for the whole document changes). – Emilio Ferrucci Jul 25 '20 at 15:19