As BlueTeg said, you should check first because the bolt pattern is the same but the rims may not clear your front brakes. I know from experience, I had a Civic and I kept my winters for the Teg but when I went to put them on the they fit fine on the backs but could not clear the front brakes. This is the same scenario for Miata rims as well.
13" steelies will not fit the front because of the larger 10" brake rotors on the integra compared to the smaller 9" on the Civic. But 14" civic steelies will fit the integra in both the front and back. FYI... integra's did come with 14" steelies too.
2001 civic's have the same bolt pattern. My co-worker just had his wheels stolen and he had temporary 94-95 gsr wheels on it.