Yes, although the level of detail varies.
All academies are run by charities. The charity is legally a company limited by guarantee. This company is required to file accounts annually with Companies House. If they don't publish their accounts on their website you can get a copy from Companies House for £1.
If the academy is part of a chain you will almost certainly find the chain's accounts on their website free of charge. That is unlikely to give much detail on individual schools but most publish the headline figures for each school.
If you are interested in a specific academy I would be happy to point you in the right direction if you let me know which one.