That depends on the applicable Senate rules (including any special one-time exceptions) at the moment when it is considered. Constitutionally, no, because supermajority cloture isn’t a Constitutional requirement (and, indeed, a key motivation for the Constitution was frustration with the effect of supermajority requirements in the Articles of Confederation making legislation impossible.)
EDIT: To summarize some of the downthread discussion: Assuming no special action, if brought up right now under the existing rules, “yes”.
...and Manchin and Sinema will oppose any changes or exceptions to filibuster rules for it despite (or because of) all that, so it won't happen.
Generally, no, not currently.
(“Fast track” authority for trade agreements includes, IIRC about the procedures associated with it, an exception for a specific subset of such agreements, but applies to agreements under guidelines and priorities set by Congress, which this agreement would not.)