DG, LOL!! NO! but I would have representatives of the whole of Congress do so rather than the representatives of ANY one wo/man. Even the limited combined knowledge and wisdom of 535 people composing all of Congress {When compared to the knowledge and wisdom of the collective world} is preferable to the singular knowledge, wisdom, and agenda of a single person picking the representatives for such a mission. And, the word is "picking", NOT "approving or disapproving". AND, I would demand that public debate in Congress of each section of any agreement, and changes if necessary be allowed. The destructive {to the U.S. of A. sovereignty and citizens} of Fast Tracked "free" trade agreements thus far made by administration lackeys is, IMHO, an abomination. Peace and love, George.
Sorry, the " limited combined knowledge and wisdom of 535 people composing all of Congress {When compared to the knowledge and wisdom of the collective world}" will likely decide to authorize George to manage this trade agreement despite your " demand that public debate in Congress of each section of any agreement, and changes if necessary be allowed."
Absolutely nothing in the constitution prohibits them from selecting a manager of the process.
Absolutely nothing in the constitution prohibits them from limiting debate after the selection process has taken place.
If they choose, they could rescind the manager's authority or change the debate rules. It's clearly within their constitutionally defined authority.
In this case Congress knows their limitations and has found a Constitutional method of exercising their authority.