Again...no...Calvin would say whoever believes is saved.
And he would add that a believer has been chosen before the beginning of time (Eph 1:4) . Thus:
the issue of salvation under Calvin is not “Do you believe?” but “Are you chosen?
It's not either/or. It's both. The chosen believe and vice versa.
Calvin taught that God chooses people before time, and then irresistibly saves them and them alone. The chosen ones are born again and THEN believe - Limited Atonement/Irresistible Grace.
But John wrote: “...but these are written so that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name.
Do you believe, and live? That is Arminian thought. Do you live, then believe? That is Calvin.