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The short answer is probably yes. If a parcel is otherwise landlocked, then an easment by necessity is created, usually from the property from which it was divided. If that parcel gains access and the easement is no longer necessary, it (the easement) is generally extinguished.
First of all, if the original use of the easement was for access, any use of it that exceed that is a trespass.
Frankly there are two approaches. You could hire a local attorney to make the necessary filings to terminate the easement, or you could simply render the easement unusable (fence it off, dig a trench, etc) and let the other party complain to the court. The reality is the cleanest is your own filing and it should not cost that much. Getting these people off your back would probably make it well worth it.