Nope it wont hurt anything. Theres alot of people who think that but theres nothing to it. You can replace the rings just fine, but you'll need to do some other work while your in there.
#1 you'll at least need a hone job / and posibly, most likely, an overbore depending on the condition of the bores. its senseless not to clean things up while your in there.
#2 if your rings are bad, chances are its time to replace the bearings as well. Thats no big deal because they are cheap and easy to fix, and you'll have to take them out anyhow to get to the pistons.
the other thing, its very rare to have a cylinder with zero lbs of compression. You might have a valve problem or something, but its probobly more serious then jsut rings. Either way, tear it apart and see what ya got.