Do you get more eye floaters from serious eye trauma?

Possibly: Floaters come from vitreous debris or blood floating within the fluid of the interior of the eye. The more serious the injury to the eye, the more likely it will be that blood, retinal, or vitreous debris will be released within the eye. Any sudden increase in floaters should be evaluated promptly by an ophthalmologist to check for retinal detachment before the central vision is lost.

Yes this is possible: Vitreous floaters or more serious bleeding inside eye or retinal detachment or retinal tears or retinal holes (e.g. Macular hole) may result after injury/contusion to eye. Post-traumatic new floaters should always be examined by an ophthalmologist (eye md) who examines eye trauma patients frequently to detect vision threatening injuries and recommend frequency of future eye exams.