No, it doesn't work. If you let VC invest then you cease to be a worker co-op, you become a regular business.
Worker co-ops have only one class of member: worker-owners. People who do both the day-to-day work and are part owners of the business. Unless the VC people are willing to show up and start punching the clock like everybody else, they are a different class: owners who don't work. Worker co-ops disallow that class of membership by definition.