Yes, and no. Depends on what you're making, and whether you overreach and awaken the dragon. Right now, for instance, the US Supreme Court has a case before it that will decide whether costumes are protectable by copyright (up till now, under previously well-settled case law, the answer has been no). The guy who used to make Batmobile replicas and kits is out of business now, because DC sued for copyright and trademark infringement and won.
When it comes to replicas, the issue of copyright protection is fairly complex, depending on whether the original can be said to be a "useful article," which isn't protected, or a creative work, which is, or a bit of both, in which case the court has to test for "separability," or whether the creative part can be separated from the useful article. For example, a chair would just be a useful article, but an intricate hand-carved filligree on the back of the chair would be a separetely protected sculptural work. So you can copy the chair itself freely, but you'd better get a license for the carving.
Point is, it's just not that simple when it comes to replicas. And don't even get me started on whether the original can be considered a character in itself, like the Batmobile, KITT, or the Enterprise. Seriously, just don't. Michael's has 50% coupons today, so I'm outta here.