Can you have edema without swelling? Can a feeling of tightness and burning in the hands and feet without seeking be caused by this?

Edema. By definition is swelling…the second half of the sentence needs to be risked as it doesn't make sense..
Edematous Swelling. Edema is swelling. These conditions are only one of many conditions that can be responsible for tightness and burning in the hands and feet. For consideration are neuropathies and vasospastic disorders. You best bet is to be examined by specialist, namely a rheumatologist or neurologist.