It may be difficult for Dingy Harry to pull that off with the present rules of the Senate, of course he may try changing them if he thinks he can get away with it.
Rules of the Senate
EXECUTIVE SESSION - PROCEEDINGS ON TREATIES
1. (a) When a treaty shall be laid before the Senate for ratification, it shall be read a first time; and no motion in respect to it shall be in order, except to refer it to a committee, to print it in confidence for the use of the Senate, or to remove the injunction of secrecy.
(b) When a treaty is reported from a committee with or without amendment, it shall, unless the Senate unanimously otherwise directs, lie over one day for consideration; after which it may be read a second time, after which amendments may be proposed. At any stage of such proceedings the Senate may remove the injunction of secrecy from the treaty.
(c) The decisions thus made shall be reduced to the form of a resolution of ratification, with or without amendments, as the case may be, which shall be proposed on a subsequent day, unless, by unanimous consent, the Senate determine otherwise, at which stage no amendment to the treaty shall be received unless by unanimous consent; but the resolution of ratification when pending shall be open to amendment in the form of reservations, declarations, statements, or understandings.
(d) On the final question to advise and consent to the ratification in the form agreed to, the concurrence of twothirds of the Senators present shall be necessary to determine it in the affirmative; but all other motions and questions upon a treaty shall be decided by a majority vote, except a motion to postpone indefinitely, which shall be decided by a vote of twothirds.
2. Treaties transmitted by the President to the Senate for ratification shall be resumed at the second or any subsequent session of the same Congress at the stage in which they were left at the final adjournment of the session at which they were transmitted; but all proceedings on treaties shall terminate with the Congress, and they shall be resumed at the commencement of the next Congress as if no proceedings had previously been had thereon.
http://www.rules.senate.gov/public/index.cfm?p=RuleXXX
I don’t really think they’ll go as far as I was suggesting.
But, for the sake of argument, the Senate rules repeat the same wording as the Constitution:
(d) On the final question to advise and consent to the ratification in the form agreed to, the concurrence of twothirds of the Senators present shall be necessary to determine it in the affirmative;
and does not mention a quorum.
I think that the regime will start to issue orders and regulations as though the treaty was ratified. I also expect a couple of governors to sign on and do the same in their states.