Could chest pressure be a virus?

See doctor: Chest pressure could be caused by a heart condition and should be evaluated to rule out heart causes of chest pressure like heart attacks or lung problems. Viral infections can cause symptoms like pleuritis - pain with deep breaths, but cardiovascular (heart) and lung problems need to be evaluated first. See your doctor.

Could be: If you have bronchitis or upper respiratory infection it could be due to a virus.

Yes but: It could be many other things as well. Would recommend evaluation with your physician.