My GSX hits 60mph in under 4 seconds.
It can be done, but it's hella tough to buy a 2wd car to beat 4 seconds without spending over a hundred grand. Traction is the limiting factor. There are a few exceptions to that rule like the RX-7 TT that does it in 3.9.
Buy an EX or an Si if you want a civic, and leave it stock until you boost it or you'll be wasting your money. If you're looking for a car to mod, there are cars that respond better to less expensive mods than Hondas do, but almost none of them are as light as a Honda.