Possible to use cypress for e2e with embedded jxbrowser?

I've recently found and fallen in love with Cypress for e2e testing, much more so than Selenium, but there's a catch: our web app will actually be within jxbrowser, inside a java app. Whatever e2e framework we choose has to be able to run all the tests within jxbrowser inside of this embedded application (hence why we originally looked at selenium, because of the remote driver)

Is it possible to get this working? We absolutely need the embedded jxbrowser tests (Cots integration, can't get around it), and I'd hate to have to fall back to selenium.