Is there a way to play this without geting vertigo?

Try configuring WASD controls, mouse look, turning off auto roll / leveling. Use your choice of 'jump' and 'crouch' to slide up and down. Then it feels more like an ice-skating FPS than a flying game.

Keeping the cockpit on screen may also help provide a frame of reference.

I found that helped me enjoy the game more now that I'm older and less tolerant of 6DOF movement.