Place via for BGA component in Kicad
As @JRE pointed out, these red circles are a keepout area for signals not belonging to the pad's net.

You will need to use a footprint where the pads have less "security margin" around the pads. You can adjust that under Tools->Design Rules by reducing the "Clearance".

Which brings me to the question: What kind of footprint is that? It doesn't have a component outline...