Aloha, it can be done but it is not something that someone with little experience in refinishing should attempt. Sanding through the veneer and veneer separation during preparation are common problems, even for the pros. If you have an old piece with veneer that is fairly thick and well attached, you might have a reasonable chance. If you have a newer piece with thin veneer, it’s very difficult.
You might check with a pro though as their might be somethings that could be easily done to make the bed match better with your other furniture. Knowing where and how to get some supplies and how to color match are important factors.
Henry in MI