Several Senators have spoken up suggesting they might do this. Mitch McConnell has been trying to keep a lid on it, fearing political consequences; the chances of winning such a vote in the Senate with a razor-thin majority are probably pretty slim. However, just having the objection take place with one member of the House and one of the Senate is enough to trigger contested election procedures.
Will it be enough? I dunno. But the objection will keep Trump in the game for a little longer.