An older font with upright Greek letters is AMS Euler. Loading eulervm or eulerpx will also set your Latin letters upright, but some packages have an option like eulergreek to set only the Greek letters to Euler. The stix and stix2 packages support Greek letters in \mathrm. There is also an upright Greek font in fourier. None of these are compatible with isomath or listed in its manual because they use an encoding other than OML.
The lucidamatx package supports math-style=upright. The mathdesign package supports greeklowercase=upright.
The kpfonts and mathdesign packages support the commands \alphaup–\Omegaup. The upgreek package supports \upalpha–\upOmega. Both newtxmath and newpxmath support \upGamma as well as \Gammaup, etc. The fourier package supports \otheralpha–\otherOmega.
If using isomath, you can either load mathdesign and then \usepackage[OMLmathrm]{isomath}, or get the math design fonts with, for example, \usepackage[OMLmathrm, rmdefault=mdput]{isomath} for Math Design Utopia, or load an upright OML math font with \SetMathAlphabet. See table 3 in the isomath manual for the upright families that come in OML. (If you load mathdesign, I would recommend you load erewhon, garamondx or XCharter afterward to fix some bugs with its text fonts.)
I would recommend you use unicode-math in LuaTeX when you can, and legacy math fonts when you have to. All OpenType math fonts contain upright Greek letters that you can use with, for example, \symup{\pi}, \muppi or \uppi. You can also give unicode-math the package option mathrm=sym to make \mathrm{\pi} an alias for \symup{\pi}. If you do so, you should \setoperatorfont and make sure to write \textnormal{iff}, not \mathrm{iff}, for words in math mode. Finally, you can give unicode-math the option math-style=upright.
\usepackage{upgreek}, then you can write\upPsifor example – Andy Barbour Jun 02 '14 at 05:01\varGamma, ...,\varOmegafor italic Greek math letters. – G. Milde Jan 10 '24 at 23:51