Yes...there are also some buildings/superprojects that would permit you to activate Exosuits on these unavailable spaces (I believe).
Edit: The buildings I had in mind are Building 403 and the Uranium Cores Super Project. I believe both of these would permit the powered-up Exosuit to be placed on an unavailable space on your player board, but perhaps someone else (or the FAQ) can verify this.
The warping of Exosuits onto unavailable spaces is definitely permitted by the rules (see page 10 of the rules).
I think it's best to always link to the FAQ, or at least point out that it's a thread, not a file.
Here's the link: Official FAQ and errata