I don’t believe so. The twf rules are specifically worded in a way that disallows it:
So to get the Dueling bonus you can’t have a weapon in your other hand when you attack, but to get the bonus action attack you have to be holding a weapon in your other hand when you attack.Originally Posted by Roll20
Edit: you could get dueling to one attack and still get the bonus attack after level 5 if you draw between the attacks of your action though. Without the twf style though, you’re basically trading one instance of mod to damage for +2 to damage anyway.