I'm thinking of buying a customized Warmoth Telecaster Thinline Body with standard four bolt mounting holes but I really like the feel of my Telecasters Blacktop's neck.

So to put it simply: Can I put my Blacktop's neck on a thinline body?

With help from a guitar shop of course.
My Usual Rig:
Gibson Les Paul
Orange Rocker 30 Head and 1X12 Cab
EHX Russian Big Muff Pi
EHX Holy Grail Plus

Lead Singer/Rhythm Guitarist of The Johnny Red Eyes
you shouldn't even need a guitar shop, to be honest. it will just be screwing the thing in place
1978 Peavey T-40 -> Ampeg Micro-VR - > Ampeg SVT210AV + Ampeg SVT-15E