You appear to have relatively thick nasal skin and a broad nasal appearance. Rhinoplasty may be considered for achieving a narrower nasal appearance, but the model you post has much thinner nasal skin than you. The thickness of nasal tip skin can be a limiting factor for achieving maximum...
Is your tip its final shape? The nasal tip and the area immediately above the tip called the supratip take easily a year before you see the final shape with average thickness skin. With thicker than average skin that time may be two years or more. This is not really swelling at this point which...
The short answer is no. However your nose will be swollen internally and sensitive so the Covid Test should be administer gently and with out trauma. Good Luck!