Yes, it is possible.
It is possible that a team with a 7-9 record can host the NFC Championship.
Two things have to happen.
Seattle must win in Chicago and Green Bay must win in Atlanta. And I think both will happen this weekend.
Both matchups are replays of earlier meetings where the Seahawks won 23-20 in Week 6 in Chicago and Atlanta beat Green Bay in the dome 20-17 in Week 12.