True inspiration can come from everywhere .However there is no need to break/bend/create new lore for TDAs TP other units (im guessing you are talking about warpspiders) can TP while in combat but not TDAs they can only teleport towards the battle and back to their ship .
Cryptek with Veil of Darkness can also teleport unless they are in melee Combat. And i didnt know if the Terminators can have a Personal Teleporter, or not.