Can an irrevocable trust be added to the deed of a house?

Trusts aren't "added" to deeds. If you want to transfer your property to a trust you need to consult with an attorney who specializes in trusts. The attorney will review your situation and your needs and draft a trust that conforms to state and federal laws. Then you will need to tranfers your property to the trustee of the trust by executing a deed. Once that's done you will no longer own the property. Title will be held by the trustee who will manage the property according to the terms of the trust.