No.
1) Sins represent ships in a "General" sort of way. In other words it would be difficult to represent the different damage types like Eve does. Example in sins you have a Caracal with only tech 1 Kinetic missiles. You cant change that on the fly to Tech II explosive, or mix them up. Same with armor and shields.
2) CCP would bombard you with cease, and desist letters. CCP defends their Intelectual Property fiercely.
The only ones authorized to use the Eve IP AFAIK are the guys making the HW2 Eve mod (another HW2 mod that will never get finished). CCP monitors their every move. "IF" anyone wants to make an Eve mod for Sins they would have to go through CCP first, and get permission. Then CCP would make sure the mod "doesnt suck" in thier own words. In reality they just dont want their IP miss-represented. Which is probably why the HW2 mod never got finished.