Yes, commercial fishermen are allowed to possess up to two lobster operator permits, with no restriction on the type of lobster operator permits in possession.
If a transferable lobster permit is transferred to a person already in possession of a valid transferable lobster operator permit and a non-transferable lobster operator permit, the non-transferable permit is rendered null and void. That non-transferable permit and the trap tags associated with it must be immediately surrendered to CDFW’s License and Revenue Branch.
Here is the new Lobster Operator Permit Transfer Application - DFW 1702 (PDF).