Absolutely can be done.
The guys at HRP have scratch built a Fathom cabinet. EBD is exactly the same. If you have a backglass and the playfield, then you have made a great start. Cosmetic parts would be easy to source - plastics set, drop targets, pop bumper parts - readily available. As mentioned, the hardest parts would be found on donor playfields - the DT assemblies being the hardest. I would not install linear flippers - go with the earlier style.
A lot of what you would need would come off donor games - door, transformer, tilt mechs etc. The backglass locking latch is reproduced.
Boards - repros are out there - altek / rottendog.
It would be a very rewarding project, as long as you have a lot of patience.