Yes but you have to open it up to do so and then put it back together when done. Once you're inside and have gotten that far, it's just a few minutes more to install the SSD.
Do you really need the $12 bracket? No—you can install with double-stick foam tape. The bracket improves cooling and just snaps in.
What about the $39 OWC temp sensor? There are ways around that including shorting the lead. I would not do that to a client's machine but, with that spinning heat pump gone, I don't see the harm. Removing it is a bad idea because you have to now control your fans manually (there are freeware apps) instead of automatically and there's the joy of listening to your fans go nuts at full speed during the boot process till the app loads—no thanks.
I know guys who use rolls of double-stick foam and not the pre-cut kits to put these back together. If doing one only, get the kit.
If you're a guitar player, you don't really need the plastic pizza wheel. Wedge guitar picks in between the screen and case starting with the thinnest ones you have. Be patient and work slowly so as not to crack the glass.