No.
No tribes may take any Corps loadouts; they are for corporations (hence the categorization as "Corps" loadouts).
For the same reason, no Dark Legion forces may take Corps loadouts.
Only in the case of Cybertronic may Corps loadouts be combined with enhancements, and then, they do, indeed, stack - albeit only for the specific circumstnaces (e.g.: Extra Ablative Armor will add +1 AR, but only against Ballistic Attacks).