I'm glad to hear that you're getting the hang of the controls better, and I hope you were able to get through the tutorial !
Regarding the wall jump without the green power, it's not a bug but a frame-perfect jump intentionally included for speedrunning enthusiasts to offer an alternative and quicker way to progress through levels. Otherwise, you'll need to unlock the green power to wall jump freely.
I've provided the option to use both WASD and arrow keys for gameplay, reserving the space bar for the On/Off mechanic. I hope you'll manage to navigate through all the levels and even beat your own records...
PS : feel free to share a screenshot of your level selection menu with your best scores !