| Plausible Pseudonym |
No. Natural attacks (claw, bite, gore, etc.) don't work that way. If you make multiple natural attacks what matters is if some are classified as primary and some are classified as secondary. All the primaries are made at full BAB, all of the secondaries are made at -5 BAB. If all you have are claws they are both primary attacks.
Two weapon fighting gets you additional attacks over what your BAB iteratives would get you, but at penalties. But natural attacks aren't based on BAB iteratives (you get two claw attacks at level 1, and if you multi-classed and had BAB 19 at level 20 you'd still only get two claw attacks).