Definitely
Being directly beside each other isn't the only way you can both be onscreen at the same time - most rooms are near enough to see both characters at once even with walls separating you.
When you encounter something you need Kayden for, look where else is onscreen and possible to get to, and try investigating how either of of you can get there separately.
Viewing post in Kayden Is With You jam comments
oh dear
no, the end of the game is very obvious, i think you might have encountered a bug. do you remember where you got up to?
EDIT: i just replayed it and found the transition it happens in, however looking at the project in the editor I'm having trouble recreating it. I'll have to look at it in the morning if I have time (it's late where I am).
Especially gutted that there's a problem like this where it is, the very next scene was where the 'plot' started getting good haha