Do all pulsars have a Pulsar wind nebula?

[StephanJ]

Intuitively I would say no because it seems like a big call but at the same time the high energy effects rely on the interaction between magnetic fields and gas don't they? Any tips or just an idea of where I can find out would be awesome

 

[Chronos]

The pulsar wind originates in the gas shell of its supernova progenitor, and there is good reason to believe there are powerful magnetic fields at work here generating, among other things, synchroton emissions. e.g., http://arxiv.org/abs/1001.1749