No, sorry but the features are not aware of each other at all and have no way of orchestrating one another.
You could link to a form from an event description and request users to fill out the form in addition to registering for the event but there is not something currently to force them to do either from the other. You could say in the description of an event that filling out the form is required and event registrations without a corresponding form will be cancelled.
Best,
Joe