Does Frightened break Grapple?
No, being Frightened does not break a Grapple. You can continue to Grapple a creature that has inflicted Frightened on you as the continuous Grapple does not move you closer to the target. As such, you can even drag the source of your condition with you during Grapple as long as you are within range to Grapple them (you cannot move closer to them).