No.
Since this is just a test for your new shooting style I'm going to review it like it is and score it appropriately. I'm on a mac and I don't have a number pad. I've tried every key on my keyboard and am unable to shoot. Refreshed 3 times and still notable to shoot. Which is not a surprise because the only option available is to use the 0 on the number pad which I don't have.
Maybe you could add a feature which allows the user to choose between 2 or 3 sets of controls. I'm sure that would fix the button problem.
The movement is smooth though, and I like that the hitbox is close to the size of your ship. In some shooters this is not the case and you can be killed for coming close to an enemy without actually touching it.