It can. With the G3s we saw some of the fabric clothes they came with staining the body (especially with the Halloween sets.) You might try soaking the clothes in white vinegar for a short period. That can help to make the clothes color fast. I've never had fabric be damaged doing this, but as with all cleaning advice do be careful and don't leave them in the vinegar for long. Also do only one piece at a time in case the dye comes out a bit, don't want to ruin the clothes
Elf