Quick Question

I believe so. Gregory Nava made the movie AND this series.

No, no. No spin-off
A spin-off would require at least some plot connections (which there aren't) and some characters to populate both movies (which there aren't)
On the contrary, Olmos played a waiter/writer called Paco in My Family, not a conservative hairdresser Korean war hero called Jess.
Quite a different character.

So no, no spin-off.