Right now the only minivan that's even remotely electric is the PHEV Chrysler Pacifica, and it only gets a few dozen miles on battery only. As a father of 4, I'd welcome any newcomer in the minivan space.
Most people don't realize that a minivan is better than a truck, SUV, or crossover for the blend of efficiency, people-moving, luxuries, and cargo capacity for anyone with more than a kid or two!
First principle analysis strongly suggests Tesla is definitely working on minivan/peoplemovers and cargo vans. In terms of broad clusters of vehicle types, you have:
Personal vehicles: sports cars, small sedans, large sedans, and SUVs. Tesla has 5 offerings in this category (S, 3, X, Y, Roadster).
Utility vehicles: pickups, utes, trucks. Tesla has one forthcoming offering in this category (Cybertruck).
Heavy transport: Semitrailers, 18 wheelers, freight haulers, road trains. Tesla has one forthcoming offering in this category (Semi).
Light transport: Minivans, peoplemovers, cargo vans, “Maxi Taxis”, mailtrucks/delivery vans. Tesla has no forthcoming offering in this category as of yet. All of their previous offerings synergize well with development of this category, and the advantages of Tesla-style electric vehicles have a lot of comparative advantage in this category.
Most people don't realize that a minivan is better than a truck, SUV, or crossover for the blend of efficiency, people-moving, luxuries, and cargo capacity for anyone with more than a kid or two!