No that would not cause a new Concussion..
Most body motions just do not have the power to injure that way..

You may have some lingering neck muscle strain that may flare up.. if so treat for sore muscles.. ice/heat, OTC pain med, some massage ...

Concerns about minor actions or small bumps is often asked about.. read other posts here to see the pattern, it may help you to avoid the over focus scenario.