There is no jurisdiction within the US in which the ownership of any type of firearm is illegal. This was never true even in DC before they lost the recent Supreme Court case. Our constitution does not permit such laws.
Possession of fully automatic weapons is illegal everywhere in the United States, unless the owner has a federally issued Class 3 firearm license. They don't just hand those out to everyone who wants them. In addition, certain jurisdictions limit the the types of firearms you can own. Often these restrictions are completely illogical ("assault weapon" bans, for example, which ban some weapons based on what they look like, not on how they function,) but they do not violate the 2nd Amendment.
After Goliath's defeat, giants ceased to command respect. - Freeman Dyson