Did some quick research and here is what I found.
Kp index is an indicator of geomagnetic storms in the ionosphere. According to NOAA (NATIONAL OCEANIC AND ATMOSPHERIC ADMINISTRATION) “The principal users affected by geomagnetic storms are the electrical power grid, spacecraft operations, users of radio signals that reflect off of or pass through the ionosphere, and observers of the aurora.”
In the case of drones I believe that the only thing affected is GPS. I was able to find a scientific paper that analyzed the effect of these geo storms on GPS signals and it concluded that it affected the RMS positioning accuracy. The numbers ranged from 0.393m to 1.051m from a mild to a severe magnetic storm. With no storm the number is 0.167m.
You can draw your own conclusions but I think it will have minimal to no affect on drone flying. Worst case is that you can lose the connection to individual satellites so that if you ensure you have the minimum number of total satellites your probably OK.
if your interested you can read the paper here.
Assessing the Performance of GPS Precise Point Positioning Under Different Geomagnetic Storm Conditions during Solar Cycle 24