Not quite yet. Construct's current 3d plugin can't support fps movement or camera angle changing yet. The one they have now you can only turn 90 degrees. I played with it and that's because you can't yrotate objects or change the camera angle but you can move blocks around to give a 3d look but only moving on the cardinal lines. Really cool for retro style dungeon crawlers.
It's only a matter of time though before I'll have to make my fps template support the 3d objects.
Viewing post in Construct Ray-Casting Template Questions
...Update... Still not dead because though Construct 3 now has a camera for FPS, it can't handle opacity very well, and there are no effects available for 3d objects so no lighting, so there are things you still can't do FPS wise with it. I've been trying and talking to Ashley and they still aren't fully there. Once they get there if they do I can maybe port this template to use full 3d and include that as well (keeping the ray casting ones too.