Not if the other states objected. They didn't object, did they? They accepted the VA, NY, and RI ratifications. Otherwise, there would have been additional negotiations and re-ratifications. If NY has the power to reassume their governance, then all states do.
How convenient. Except that it doesn't work that way. That would be like signing a contract to purchase a car, having the dealer add surcharges and then quickly signing it so you are bound to the new terms.
The document they "signed (ratified) was intact and no additional modifiers or conditions were added by virtue if individual state ratification documents. Sure states can secede - by going through congress.