Can running past tobacco smoke and weed for less than a minute put my health in danger? i was very close to the smoke.

No: Sounds like you are a jogger who ran through some smoke in an open area, there is no chance that this would cause you any lasting harm beyond the smell of it. Second hand smoke injury would occur in a closed setting, over time. Good luck

Cannabis/ tobacco.: Agree with Dr. Simon. This scenario is not likely to cause problems. But it is important to avoid second hand smoke when possible.