Nope, they didn't have a choice. Arwen had her children after she made her choice, and since she chose mortality, they would be mortal. We don't hear of Elros's children being given the choice, so Arwen's children shouldn't.
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But Melkor also was there, and he came to the house of Fëanor, and there he slew Finwë King of the Noldor before his doors, and spilled the first blood in the Blessed Realm; for Finwë alone had not fled from the horror of the Dark.
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