There should be an electric field in the corona/heliosphere, owing the fact that electrons and protons have a much different mass. But, this field is too small to measure.
There are some theories that the solar wind dynamics are related to this field, the 'exospheric theory'. But, most in the field don't consider that the wind is driven by the electric field. One thing to consider is that the wind is quasineutral, so that the net force from a large scale field is zero.
The standard model of the solar wind posits that it is drived by thermal pressure gradients, analogous to fluid flow from a nozzle. but, this can't explain the observations. I side with those who believe wave-particle and/or diamagnetic effects drive the high-speed (800 km/sec) wind and explosive events drive the slow speed (400 km/sec) wind.