So online there have been some suggestions that shooting a bullet into a hurricane could send it back to you by wrapping it around the eye.
So based on the images presented on wikipedia area presented by a 7.62mm rifle bullet to a wind striking it from the side is less than 12mm x 30 mm but more than 1/2 that so at least .00018 m^2. The minimum hurricane wind speed is 33 m/s so plugging it into the wind load calculator giving us about .12 Newton. This compares to the force of gravity of about .01kg *9.8 ~ .1 Newton. Yet fired straight up a bullet will only travel on the order of a kilometer while the size of a hurricane eye is typically 30+ km in size.
So no, a bullet won’t wrap around the hurricane and come back to hit you. The wind effect simply whips it off course too quickly to do a full circuit but one could hit something unintended if one fires with a strong cross wind.
I strongly suspect that simple range limitations would be an easier way to figure this out but I found the calculation kinda fun.