The password is the encryption (and decryption) key for the data, and Apple has used secure data encryption.
So… no.
Your options here are to remember the password directly or from the hint, or maybe from other passwords picked around the same time and stored in Keychain, or to acquire some help and some hardware to try to brute-force a less-than-robustly-chosen password. Trying to brute-force a robust password can require years or decades or variously longer.
Touch ID for Notes access and Touch ID for device access are intended to allow using a more robust passwords or passcodes, and are not a replacement for the password or passcode. The password or passcode is the key to the data encryption and decryption. Without that password or passcode, this case is indistinguishable from a miscreant trying to access the data in the note or the data in the device.