No. This has been covered multiple times as well as being addressed in a Middle-earth FAQ entry on this site.
Arwen was given the choice because with her mother being wholly elven, she received a new Elvish strain. The case of Aragorn and Arwen is the case of a mortal marrying another mortal. Their children would not have a choice just as the children of Elros did not have a choice.
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...take counsel with thyself, and remember who and what thou art.
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