Will my Mac support Sims 4?

Probably, but not sure about the integrated graphics when it comes to the game's EPs.

This is a better question to ask on a board for TS4, though. This is the TS3 section of the forum. Although I see you have already cross-posted to the Mac section on Answers HQ, so hopefully you will get a more informed response over there. :)

My 2015 macbook pro does, though it makes as much noise as a fan on full speed......