No it is not possible to determine the password used to encrypt the file by analyzing the file.
AES is a block cypher which uses a fixed length encryption key (which is not your password) to create fixed blocks of encrypted bytes. This means the designers of the cryptographic system you used had to take a variable length password submitted by the user (which is not very random because the characters in the password are represented on a computer by a small range of bytes) and convert it to a fixed length encryption key which is very random (a.k.a has high entropy). This transformation often happen by the application of many hashes (in a process known as Password Based Key Derivation Functions, PBKDF). Hashes are transformations (a.k.a. functions) which take in a string of byes of any size and produce a fixed length output. Hashes also have the desired property that this transformation can only happen in one direction. It would be too difficult to take the output of a hash and determine what input to the hash function created it.
If I was in this situation I would investigate to see if the application I used was Open Source. I would then investigate the software repository (most likely hosted on Gitlab or GitHub) and look at the code responsible for the encryption. I would then use that code to create a small decryption program which attempts to decrypt the file and then checks the output. This of course assumes that the amount of currency recovered was worth the time.