Only if he (and I guess UKIP) got more than half of the popular vote. Otherwise all it shows is that a lot of people are pissed off that they haven't delivered Brexit and will vote for anyone who says they will.
But a lot of people are pissed off about the referendum result so a lot of people will vote for anyone who says they will revoke Article 50 or have another referendum. The Remain vote is more split than the leave one. This vote will send a message but I'd be extremely surprised if that message is that the majority of people still clearly want to leave.
If there are indications that the majority of people now want to stay (the polls do indicate that - polls can be wrong of course but they're probably the best indication we have) then there is a case for a second vote.
I doubt it will happen but this "you lost get over it" rhetoric is tiresome. Nowhere in the democracy rulebook does it say that the result of a vote stands for perpetuity with no prospect of a change of mind.
You don't have a general election and the party who wins is in power forever no matter how close the result was or how opinion changes.
The issues here are how close the result were, the lack of a plan from anyone about what Brexit actually meant and the length of time between the referendum and delivering on it.