It is best to discuss your medical issues with your surgeon as your surgeon will make the final assessment. In general psoriasis is not a contraindication to having a hair transplant surgery.
yes you can get a hair restoration surgery with psoriasis. I have done many of those cases with no problem .
I have transplanted many men who had psoriasis, but sometime the psoriasis needs to be treated prior to the transplant. I have psoriasis and had a hair transplant with no problems,