There is a plus or minus four percentage points margin of error. This claim is ridiculous. The specific numbers for this poll are unavailable, but for most polls only a small minority of people called actually agree to answer the questions. This introduces potential bias into any poll, but the problem is especially acute when the subject is guns, because many gun owners fear private information may be leaked which will eventually be used against them. That would be a bit like asking 1940s homes in central Europe if any Jews were present, and what they thought about the policy of the government rounding them up.
Summaries show the questions to be leading.
This introduces even more bias into the results. However, such checks are already required at gun shows for most sales. The question describes the same set of laws, but the poll results would have been radically different. That's an interesting way of phrasing the matter. Of course, the fact that leading questions can so easily and so radically affect the outcome of a poll, shows that many peoples' political opinions are superficial anyway.