can I map fields grouped in groups created via ACF?
however, not sure what grouped fields are and how ACF saves them in the DB. Most issues other users have faced is due to incompatibility between the ACF format and the way the plugin saves values. The plugin saves values as they are submitted, but ACF requires these to me in a different format to recognise them, so it is possible this is the reason you are not able to save yours.
The plugin is designed to be as flexible as possible and you can programmatically change the format of the values being saved in order to match them to ACF expectations.