Yes, there is nothing stopping you from signing up to as many betting sites as you please. In fact, many people do this so that they get to enjoy as broad a selection of sports betting odds and casino games as possible. It’s also worth noting that many people will register accounts on different online gambling sites to take advantage of the welcome bonus deals on offer. Bear in mind that some betting sites will be owned by the same parent company which might limit what kinds of sign up offers you are able to get.