So, the relevant rule is Article 1, Section 5:

Each House shall be the Judge of the Elections, Returns and Qualifications of its own Members, and a Majority of each shall constitute a Quorum to do Business; but a smaller Number may adjourn from day to day, and may be authorized to compel the Attendance of absent Members, in such Manner, and under such Penalties as each House may provide.

I can see wiggle room in the interpretation of that, but i’m also not a constitutional scholar. But then again, neither is McConnell.