Yes, in some cases—if you qualify for a new visa (like H-1B) and haven’t been out of status.

1. USCIS might question your intent, especially if asylum claim contradicts the new visa.

You can’t leave the U.S. while the change of status is pending or your asylum is unresolved.

Yes, but it’s complex. You may change status if you’re eligible for another visa and maintained lawful status before applying for asylum. Consult an attorney for guidance.