Hi kokohu,
welcome to the Apple (user-to-user) Community.
Re: "Can I get a refund for subscription I cancelled but was still charged for?"
Seems subscriptions need to be cancelled at least 24 hours before they expire, if you do not want to be changed.
if an Apple subscription:.If money has actually been deducted (not pending) you can try asking Apple for a refund
Request a refund for apps or content that you bought from Apple - Apple Support
If a refund is approved, it will be credited to the same payment method that was charged. For how long refunds take: See: Check the status of a refund for apps or content that you bought from Apple - Apple Support
If the app is not from Apple : See: How to contact an app developer - Apple Support
All the best :-)