Can I transfer my house to a beneficiary named on my living trust ?

You can do anything you want with your property. I would recommend, though, that if you want to disinherit the beneficiary who has already stolen from you, that you have your trust amended to do that.  Giving your house to the other beneficiary now subjects your home to that beneficiary's creditors, and gives them your basis in the house. What that means is that if they sell the home, they will have to pay a lot of capital gains taxes. Besides that, if the beneficiary is not your child, the property taxes will go up upon the transfer.