Brad, since the domain is not going to be yours, and you'll be unable to actually verify it in Google Search Console, then you probably won't be able to use the Google Change of Address Tool.
However, if you are using 301 permanent redirects to redirect the content to your site, that should be good enough. Typically, when you use the Change of Address Tool you get more "credit" from Google, as it looks like they will pass most of the "link juice" over to the new domain--you don't get that when you only 301 redirect from domain to domain, you will lose some "link juice".
I do recommend that you go ahead and use the 301 redirects.