I’m Remodeling My Bathroom And Want To Change The Tiles Around The Tub,could I Save Time & $ By Painting Them

You could but it would look like it. If you are going to the expense of remodeling it would be better to replace them. If that is not possible try to stain the grout. Another idea to replace only selected tile. Make a border or a pattern in the wall. The paint will be noticable and in the near future look tacky.