I want to tell you yes,as long as you wire the vtec it should be fine.This is from the swap tab:
B16A: Mount kit required
Transmission: S1, J1, A1, Y1 or YS1
Shift Linkage: Need adjustable shift linkage from Hasport or shortened shift linkage from 90-93 Integra
Axles: B16A Axles
Wiring: DX, LX, and Standard (dual point injection) models the wiring needs to be modified for port injection first. To use PR3 or PW0 four wires need to be added, VTEC, VTEC oil pressure, knock sensor and second O2.
Upper Radiator Hose: 92 GSR, trim to fit
Lower Radiator Hose: 90 Integra, trim to fit
Throttle Cable: 90 Integra
Clutch Cable: Stock
Air Conditioning: Use Hasport AC bracket with stock AC compressor.
Chassis Prep: Make a dent on the left-hand frame rail for alternator pully clearance.
Emissions: Purge cutoff solenoid valve needs to be Teed into the fuel pressure regulator for vacuum source.
So if you have the si of hf you should be good,with the aforementioned wiring.