Honestly, no. It's one of the most comfortable VR games I've played and I play with the camera locked to the pilot. The closet I've got is a little lightheaded in 2048 zone mode, but it's the kind of lightheaded I really enjoy.

It's always walking in VR that gets me. That can make me feel really ill.

If you feel sick, you really are better off taking a break until it passes. You don't want to condition yourself into feeling WipEout + VR = sickness. Are you new to VR or have you been playing for a while?