Yes. I believe you could discuss with your boss that you want some variety in your tasks. The worst they can do is to say no. Don’t tell them you are going nuts. Just tell them you’d like to contribute in more ways etc and try different tasks in addition to the ones you do now. It’s always good to ask for more responsibilities.

The only concern is and that’s maybe why they don’t give more tasks, is that when they gave different tasks you said you couldn’t do them or needed someone else to take charge or they weren’t pleased with the result. Maybe I’d have a conversation with them if there is a group project you could join or if they have an idea on type of tasks you could do . Or you could suggest a specific task you could do successfully

No. You can’t ask them to let you go. Companies don’t lay off upon request. If you want to leave, you leave. I get that you won’t get unemployment but you can’t request to be fired. You can’t ask them to let you go as they aren’t really holding you. You can give two week (or whatever requirements they have) notice.

Hopefully they give you better variety of tasks after you talk to them and things improve