It doesn't appear so. I can't find anything in the options, and a cursory search through the forums doesn't reveal anything. The options are probably buried in the code somewhere but I'm not familiar enough to sort through it and find if the keybinds are defined anywhere.
Well, thanks for trying. I got inspired and made an autohotkey script for it instead.
If anyone else wants it, create a new AHK script (right-click in folder or desktop -> New -> AutoHotKey Script) and add this after the autogenerated bits:
Code:
#IfWinActive Trials in Tainted Space
shift::~
That's it, it works and lets you type normally everywhere that isn't TiTs. Replace "shift" with whatever key you want. Spacebar seemed like a good option but it's already used as some sort of generic "skip/leave conversation" button. Have to suspend hotkeys or use capslock if you want capitalization when entering names ingame, but hey, it's less of a pain in the ass than the default UI.