yes it will be fast, the h22a prelude motor puts out around 200-210bhp, so in a little civic eg that will make a fast car,although if you are going to engine swap go for a b16a2 from a 98 civic vti or a b18c1 from a integra type-r , the b-series are the better more tune able engines.
the h22 will be good though, you can put on a good quality induction kit/cold air feed and cat-back exhaust to improve performance. theres tons you can do and you can push some nice power out of the h22a, it could be a very fast car with some money put into it. remember its a dohc vtec 2.2 in a car that weighs a little over a ton!