Yes, i believe that Donald Trump is going to name Chris Christie his running mate in the future because Christie is considered by many Republicans a member of the GOP establishment. Chris Christie is currently the governor of New Jersey and would help Trump bring more voters to his camp in a general election.
Chris Christie is the latest in charm with Trump. He openly supported Trumps candidacy for presidential nomination from Republican Party. Chris Christie has high chances of becoming the Vice Presidential candidate in the forthcoming election. Hence I feel Donald Trump could be naming Chris Christie his running mate in the future.
Donald Trump is not going to name Chris Christie as his running mate in the future. Chris Christie has bid for President many times and never gotten very popular, so it is unlikely Trump would put Christie on his ticket, especially after the video where Chris Christie looks horrified at Trump's statements in the background of Trump speaking.
I do not think that Trump will name Christie as his running mate due to the fact that Christie is determined to finish his term as governor. He doesn't seem too enthusiastic about being the Vice-President. As a result, I believe Trump won't be too interested as having him be the next Vice-President, as well. He is better off having a running mate who is dedicated and eager to do the job in question.