No, not claiming any rides during the summer months will not result in your account being suspended or paused.
CareDriver accounts will be paused for inactivity only if you do not claim a ride for at least six months. You can read more about accounts paused for inactivity here.
Because so many rides on the HopSkipDrive platform are to take students to and from school, there are generally fewer rides available when school is not in session. We do encourage you to continue to check for rides in the app, as there are still some rides available to claim in many areas. You can read more about and find the back-to-school timeline for your area here.