Can you have anxiety tight chest feeling without being anxious?

Diagnosis of exclusn: Anxiety as a cause of chest tightness is a diagnosis of exclusion. That is, after all other causes have been ruled out, it can be considered. If you're not feeling anxious, I would look for a different cause. Asthma is very common in your age range and I'd be suspicious that's a contributing factor. Muscle strain would be next on my list, depending on your physical activities.