Support

Hello,

technically what you're asking is doable, but it really depends on how the component has been created. First of all, you should check if it has any link with the #__assets table of your site. Since the internal IDs will be different, you can not simply "copy and paste" the content, otherwise the you will have corrupted data. After this check, you can try to move the data from one site to another.

My suggestion would be to install the component from scratch in the Joomla 4 website, so Joomla will be notified of the new component and it will include it inside the environment (automatic updates, administrator menu etc etc), then you can start thinking about moving the data.

The quickest way would be to use the same database prefix, export the tables for that component and import them into the new website using PhpMyAdmin. Of course you can use Akeeba Backup, but you should create a new backup profile with the type "All site databases", exclude all the tables expect the ones you're interested into, upload the archive to the new site and start the restoration. Since it's a database type, it means that the only step in the restoration is the database one.
Honestly I think it will be quicker to do everything with PhpMyAdmin.

Then... you have to experiment and check if anything breaks. I can only give you some general guidance, but the best thing to do is to get in touch with the developers and ask them if what you're doing is actually possible.