Probably, but I hope you wouldn't buy that useless, overpowered direct drive motor.
When controllers and batteries both have simple two wire connections, positive and negative, they work ok.
But some more sophisticated systems have multi wire connections which only work when they communicate as designed, sometimes referred to as CanBus.
So caveat emptor.
Personal preference. Twist throttles can be jiggly over rough surfaces, but I find thumb throttles just as bad. I prefer a half twistgrip throttle, inner half twists to apply power, the outer half is stationary handgrip giving a stationary reference when both halves are gripped together: