Does neurogenic stuttering ever stop occurring after a stroke?

Possibly. The answer depends upon the area of the brain affected by the stroke; and how the blood supply to that area recovers. Best to discuss this with a neurologist; or your primary care physician.
It can. A speech therapist can be extremely helpful with this problem. See one.

Related Questions

Can neurogenic stuttering ever just randomly all of a sudden stop occurring after a stroke?

Variable. Multiple causes of stuttering but any stroke occurring within classical speech areas can change pre-existing pattern dramatically, especially if ability to express speech is affected. So, what you ask may indeed occur subsequent to cerebral infarction.

Could a stroke cause neurogenic stuttering to stop?

Yes it can. Read oliver sacks, the man who mistook his wife for a hat. He describes strange cases of patients who show strange behavior following a stroke. As I recall he describes a patient who spoke more easily after a stroke. Pretty rare however.