Exploitability of AES in CBC Mode For Recovery of Plain Text
No, in this situation, CBC mode doesn't pose any security with a 256-bit uniform random AES key.
At data on rest, the AES-CBC has Ind-CPA security.
There is a padding oracle attack on the CBC mode due to PKCS#7 padding, however, that is not applying here since there is no server to query the padding.
There are multi-target attacks and quantum attacks on the AES, however, they are not possible on AES-256 which is the reason that it is the golden standard around.
The only problem that can occur on the user's side,

User has a weak password that can be found, severe!
User-machine has been hacked, severe!