No it's not possible. The thing that makes Sars-Cov-2 unique is its binding site in the human body. Sars-Cov-2 binds to the ACE2 receptor, which is found in just about every organ in your body. Unlike many other viruses which target receptors more localized to e.g. your throat/airway, Sars-Cov-2 can infect cells in your nasal cavity, stomach, lungs, heart, olfactory neurons, you name it. And every cell it infects will be destroyed; either by bursting to release the viral replicas, or by an immune system response.
I'm not sure that damage to various organs around the body beyond respiratory system is that a unique of a property - see myocarditis and the like related to influenza infection, which is a significant cause of mortality.
Seasonal flu is multiple different strains that can exchange genetic material, as contrasted with COVID that doesn't have different strains but small mutations
