Vice President Mike Pence presides over Congress' certification of the results, but he cannot intervene in the process.
The Vice President- in this instance Pence- opens sealed certificates containing the count from state and hands them over to tellers appointed from among the House and Senate members, who then announce the result.
The Electoral Count Act of 1887 limits the power of the president of the Senate, stating that he is a presider, not a decider.
If, however, there are any objections to any individual state's electoral votes, it must be made by at least one senator and one Representative, but with certain constraints.
It must be presented in writing by at least one member of each Senate and the House. If the objection is valid, both the houses will debate it separately and decide whether it can be entertained. If there's a split decision, meaning the House voted one way and the Senate voted the other, the objection fails, and votes are counted as initially cast. In short, the objection to a state's electoral vote must be approved by both the houses for the vote to be excluded.
Therefore, it is clear that Vice President Mike Pence does not have any law provision to nullify the election results.