I had forgotten to cancel my yearly subscription, and got charged today. Is it possible to get a refund on the charge and my subscription canceled?

Adobe offers full refund if the subscription is cancelled within first 14 days of purchase. More details: https://adobe.ly/3RMmDMl

Once you cancelled your plan, an automatic refund is initiated which takes 12-14 days for the refund to get processed.

^Shivangi

you don’t qualify for a refund, but you can ask adobe support.

You must cancel  https://helpx.adobe.com/manage-account/using/cancel-subscription.html

This is a public forum, not Adobe support... other users can't help
This is the correct way to contact support
https://helpx.adobe.com/contact.html?rghtup=autoOpen

- and enter AGENT in the box asking How can we help you?