Would the colors purple blue pink white and orange go together well in an outfit?

Without the Blue yes. Purple, Pink, and Orange are the new color "styles".

But color preferences and color matching are usually very personal and, of course, always subjective. Color wheels can be an aid in choosing the right shades most likely to go well. See the related links below for a link to a site with color wheel information.

Studies indicate that individuals (and sometimes whole tribes of people) see colors differently and that there is as much or more brain involved in color sensing as there is eye and light involvement, and, perhaps even some genetic involvement (in the most recent studies).

How well colors go together will always depend upon the specific shades and tones of the colors. There are many shades of blue. Some are "cool" (on the green side) blue and some are "warm" (on the red side) blue, for example. Some blue colors look good with some shades of purple and others are horrible together.

Often you just have to try them and see what you and others think about the combination. If you can find a pattern or print (in a scarf, for example) that has all the colors together in it, then that often will pull it together and make everything work and it may also give you ideas for shades of the colors that work well together.