Can you put B18c1 or B18c5 or B16a2 Heads on a 94-97 Acura Integra RS or GS Engine?

you can do anything if you try hard enough

god speed

With a slew of B-series engine blocks available, it's easy to be confused. Breaking things down it's easier to separate the non-VTEC (also known as LS) from the VTEC. Older non-VTEC B-series blocks are fairly abundant and can be had for little dough. Stamped from the Honda plant as the B18A1, early LS engines may be sourced from the '90-'93 Integra RS, LS and GS. Late -model B18B1 engines are found under the hood of the '94-'01 Integra RS and LS. Any other B-series block you'll encounter is going to be VTEC.

so yes

Yes. It's call an LS vtec. Usually people who do this swap, rework the head, remill the surface. A b16 would be the best choice from the SI civic as these heads have better air flow than the b18. Match with a Type R intake manifold and with the change in compression, you'll put down more power than a regular GSR.