Sure, but a universal is not your plug&play replacement, it can take some effort to program them, and as ^he says, may not have all the buttons. A replacement remote, can often be found on eBay for not much.
To me a universal is not a replacement for a lost, is simply because I want to pool my individual remotes into 1, but I still want my original remotes to "teach" the universal what it cannot get otherwise.