Can you refuse to sign a paper?

Of course you can. You must be aware of the consequences. Of course you can. However, you need to consider the alternatives, particularly if you are buying a service, or have been ordered to sign by a court. You have a right to get advice before signing or to ask that the agreement be amended. If, in the case of having partial ownership in a home, you do not want to sign a quitclaim, you should get advice before doing so.