anyone experience tightness in their chest while also having sinus
trouble? suffering from chronic sinus inflammation at the moment but
occasionally having quite uncomfortable breathing in my chest and
shortness of breath too.

I don't have asthma (at least my doctor did not suggest this at any
point despite me mentioning this problem), and I tested clear for
allergies.

I guess I suspect from my reading online, here and elsewhere, that I
have something like vasimotor sinusitis, could this give me asthma like
symptoms too? Or can a blockage in the nasal passages lead to
congestion in the chest, I have no cough really.

I can just about handle being weak all day and having sore sinuses, but
breathing problems introduce an element of anxiety that's difficult to
deal with.