No, if you try to register as a new boat, they will require a MSO. Best way to handle it is to go to a TP&W office. Take the serial number and bill of sale. Take the boat if you can so they can inspect it if they need to.
Form PWD 143/144 application - sales price (not including trailer), date of sale, and trade-in information must be completed and signed by the seller.
Handwritten Receipt or Sales Invoice - must contain date of sale, sales price (not including trailer), description of vessel and/or outboard motor (make, serial number, and model year), purchaser’s name(s), and seller's signature(s).
Back of TPWD (brown) title completed with sales price, the name of the purchaser(s) and signature of the owner(s) listed on the front of the title or from their legally documented representative. (Older blue and green title formats do not have spaces for the bill of sale on the back).
It's the Bill of Rights, not the Bill of Needs.