I don't think this is a likely scenario. But is it possible? Nothing about the next few months is going to be typical, all kinds of shenanigans may happen. Many Democrats in power appear to have realized that restricting their strategies to any honored conventions other than the actual law and Constitution puts them at disadvantage to aggressive Republican tactics.
Winners of the November 2020 election will be sworn in on these dates:
New senators are sworn in Jan 3, 2021.
Source: Wikipedia - 2020 US Senate elections
New representatives sessions also start Jan 3.
Source: [Wikipedia - US House of Representatives](https: