NO. The answer to this is unequivocal NO.

This is a clear breach of professional boundary. In the US it is on the list of things therapists are prohibited to do.

I would quit working with a therapist who has made this request. I might also consider reporting them to the board or, if you are outside the US, to whatever entity oversees them. I am not saying you should do that, but it'd be within your rights to do that.