Very rarely do we hug and I've seen him for 10 years. We also do not correspond by email. I've never had a therapist who gave out his email or did texting. I have had a T who regularly gave a hug at the end of each session, but that was many years ago before email was even a thing. I suspect when email did come along, he did not encourage use of it with his clients.
My current T is easily accessible via regular phone if I need him, but I only call in a crisis. I prefer that kind of contact, but I'm an old fart and wasn't reared on technology.