No. If a co-op has a flip tax, it’s typically documented in the purchase application, co-op proprietary lease and/or the bylaws.
If a co-op does not have a flip tax, it’s possible for one to be implemented at a later date through an owner (shareholder) vote. Flip tax votes are highly contentious, as they usually pit longstanding owners who have no intention of selling against newer purchasers who bought into the co-op under the premise that there was no flip tax.