If you use TK on a character and send the character against a wall does it take damage?

No. I believe it states in the rules you cannot do this.

No. From the Pac:
"Telekinesis: Give this character blah blah blah...It may make one close comat attack. This attack deals no damage..."

No damage means exactly what it means, no damage under any circumstances not even critical miss.

it can deal damage actually 3 damage wit a heavy object