Of course does lightning create NOx but looking at the bigger picture it's obvious that concentrations of NOx in the air are mostly related to burning fossil fuel.
Just look at this map:
For more than three decades NASA has focused its space-faring skills and science chops CSI-like on an elusive global killer. Later this month, that pursuit
www.nasa.gov
The red spots are industrialised areas, not areas with a lot of lightning.
In Singapore most NOx will be from ships, traffic and industry with a negligible input from lightning.