I think that touch therapy is more than just a hug - definitely be sure you and your T have a common understanding. Your T may ask you to sign an informed consent to ensure it's completely clear.

Original T - I asked to hug him, more than once. He always said no. Never did. Very hard for me, makes me sad still. Like EJ and Zoo noted, this was certainly a rule because he was a guy - and because I had a massive teenage transference/crush thing going on - but he also said he reached a point where he stopped hugging clients, though he'd done it earlier in his career.
New girlT - she hugged me after I told her a important story at the start of August. She said the right things while she hugged me, comforting things, acknowledging things. She's hugged me once or twice since then; when the moment was right, many tears falling. For me, it's like hugging a dear co-worker or a minister. It has the purpose of helping, healing, comforting at a very difficult moment.
It is nice to know it's there if I need it, I can ask.

Technically it's a bit odd if we are standing up - I'm several inches taller than her!