Are the House and Senate in disagreement?

No, so Mr. Trump would not seem to have this power available to him.

After passing the $2 trillion pandemic relief and stimulus package on March 25, and just before its members scattered, the Senate majority leader, Mitch McConnell, Republican of Kentucky, proposed going into three-day pro forma sessions. The Senate approved by unanimous consent.

The Senate did not ask the House to adjourn for a longer period, so there has been no opportunity for them to disagree.