It’s possible according to at least some authorities familiar with constitutional law matters.¬† One constitutional expert in particular offered this answer via a request from Macsmind:

“If Speaker Pelosi knowingly went on a mideast tour with the expressed purpose to either set or undermine US foreign policy she could be held accountable upon her return”

“The constitutional authority to discuss treaties is the sole right of the President alone and his cabinet”¬† He added, “Thus Speaker Pelosi could be guilty of undermining Presidential authority and therefore could in fact be guilty of an act of sedition against the United States.” …

“At the very least there should be an inquiry to clarify the matter”.

Again, we know that the US Constitution expressly stipulates that the President alone has the authority to set foreign policy, enter into treaties, with consent of the Senate.

“The President shall be commander in chief of the Army and Navy of the United States, and of the militia of the several states, when called into the actual service of the United States; he may require the opinion, in writing, of the principal officer in each of the executive departments, upon any subject relating to the duties of their respective offices, and he shall have power to grant reprieves and pardons for offenses against the United States, except in cases of impeachment.

He shall have power, by and with the advice and consent of the Senate, to make treaties, provided two thirds of the Senators present concur; and he shall nominate, and by and with the advice and consent of the Senate, shall appoint ambassadors, other public ministers and consuls, judges of the Supreme Court, and all other officers of the United States, whose appointments are not herein otherwise provided for, and which shall be established by law: but the Congress may by law vest the appointment of such inferior officers, as they think proper, in the President alone, in the courts of law, or in the heads of departments.”

It would appear that as a matter of clearing the air House and Senate inquiries should commence immediately upon Pelosi’s return.