I think there's benefit to be gained by any method that helps you develop goals, tasks, keep on top of work and deliver something often.
Your individual work-products would gain the same advantages that teams gain with scrum:
- You'd get something done every {Sprint Iteration Period Here}, something you can hand off and say "This is now ready".
- Your estimation technique will start to improve with reflection and retrospectives
- You'll start to plan your day and make commitments to yourself about getting things done, so again your estimation of your capacity will increase
- Retrospectives will formalize improvement of your personal work process. You'll start actively improving, removing and adapting to suit you and your individual needs.
You wouldn't be able to rely on other team members to help out, which is a bit annoying, and you wouldn't have a product owner, Scrum master or a backlog to pick tasks from. You may not even be in a position to make decisions on what to work on next. But I think the formal discipline and reflection is helpful for all craft practitioners, at all levels, alone or in groups.
And who knows, you might even inspire your team to Scrum it up once they see what great results you're getting.