Yes, 2FA plugin is likely to cause issues.
Moreover, if you’re logging in through your site address and wp-admin login credentials, the WordPress app won’t be able to handle 2FA authentication. If you’d like to use the app with 2FA, the app can support that kind of log in using WordPress.com. That connects to your site through Jetpack:?https://jetpack.com/support/sso/#requiring-two-step-authentication.
Therefore, if you connect your site with Jetpack and WordPress.com account, you will be able to use 2FA and log into the app.