Will this work for migration between domains?

You should be able to do that… This video may help:

Installed the plugin – looks like I might need the premium version. I’ve got a 2.85GB installation to transfer (really heavy on images). Is there a better way to transfer media over to a shared server?

Any suggestions on the best way to move a large installation to a shared server using Duplicator? An installation with a ton of media images, resulting in a 2.85GB file archive size with these specs:
Size: 2.85GB | File Count: 24,461 | Directory Count: 415

I need to get this done pretty quickly and would like to find the best way to approach it.

Thanks,
Chris

Can I increase the memory via htaccess to prevent duplicator from erroring out?

Checkout this question on the FAQs page it has some tips for working with larger sites:
-> Browse to: https://lifeinthegrid.com/duplicator-faq
-> Find question: “What can I try for Timeout Issues?”

The biggest win for most large sites is to just create a filter on your uploads (media files) directory and then manually move them via FTP.

Hope that helps!