Yes, iFixit recommends this on most of their dual drive installation manuals. Here’s the product page for iFixit’s own SuperDrive adapter, and it lists your Mac Mini as being compatible: SATA Optical Drive USB Cable
Don’t be discouraged by your computer only having USB 2, those transfer speeds are completely usable. I frequently boot MacOS off of flash drives on my 2009 white MacBook (which only has USB 2), and transfer all sorts of stuff on that computer.
I can’t guarantee that that one on Amazon will work, it looks fine, although it looks like it says something about power problems with USB 2 computers. It might be worth it to look around for one that will definitely work with an older computer, or research with that one more.