Nah.
It's implied that Hawkins knew Drake was up to something, while Law was simply a beneficiary of Drake's actions.
- Hawkins said Drake was after something the moment he appeared with P1
- Hawkins again questioned Drake when they captured Law
- After Law got rid of Hawkins and left he told Drake that if he was happy to let him go he would certainly not stay there
Drake knows about the Luffy-Law alliance, he let Law go hoping they would go weaken Kaido's forces.