Petition to re-run the referendum?

Could the referendum be rejected?I have just spotted this:

Over 2 million sign a petition to re-run the referendum.

Can this affect the result?

Update: Lord Ashcrofts’ Poll on the referendum makes very interesting reading with some startling statistics. See it HERE.
Update re run referendum petition:
– 3,995,816 votes as at 21.54; 28th June 2016.
Is this the largest .gov poll vote ever?