No, no, no, a thousand times no. Pence has no authority to do anything but preside and count. Congress itself has no authority to change anything.
The states have certified their electors and there isn’t a single disputed slate in a single state that has been sent that would need Congressional involvement at all, both constitutionally and statutorily. Everything that happens today is ceremonial and ministerial.
What started with some legitimate questions about state legislative election authority vis-a-vis other state actors has descended into dark farce and lies, bordering on sedition. Once the state legislators decided they were ok with the voters’ choice of electors and didn’t defend whatever prerogatives they felt may have been traduced, that was it.
The idea that a single person, the Vice President, has the authority to intervene in an election in the 50 states is preposterous heading toward insane. Could anyone imagine Biden in January 2017 stepping in and trying to overturn Trump’s win and installing Hillary? Ridiculous on every level.