Bottled or kegged? Either way you should be able to do it, but if you're bottling it may not leave enough time for a dry hop.
+1 for kegging. Just transfer out of primary into a keg, and throw dryhops in there with a piece of (un-waxed, un-flavored) floss tied to it. That way you can pull out the hops if you dont finish it.
Also - I like to "continually-hop" my IPAs. Just take your hops (I use Magnum, Amarillo, Columbus, and Simcoe), mix it evenly, weigh them, then add equal amounts (by weight) every two minutes. Comes out a lot smoother IMO - no "rough edges".
I made a spreadsheet that calculates IBUs for continually-hopped beers if you want to try it.