No the Bseries prelude motors (the worst honda engines ever made) came in the 3rd gen 88-91 cars only. Although i like that bodystyle , i hate the powertrain. (I used to own one a long time ago) i'am pretty sure the 2nd generation cars used the A series engines.

 

my 91 prelude has a 2.1 in it

 

thanks for all the info , ive got someone tyring to sell me an a20a and needed to make sure its the one i need. by the way when i bought the car i made sure i got the si with fuel injection just so motor swaps would be easyer .anywho thanks for all the help i really apperciate the help