Possible - it's simple inductive charging... but, let me pee in the cornflakes by pointing out that we have some difficulty maintaining the roads we have. The expenditure for an entire national grip of inductive-charge roads would be enormous, and would still not answer the needs of those outside of the big urban areas. And, speaking or urban areas, if the big dig took as long as it did, how do you reckon this will work?
Of course, you could "smart" charge for the charge on a user-specific basis.
The next question: if you convert the entire fleet of US cars to EV...
1. prepare for a massive upgrade cost for both power generation capacity and in vehicles themselves
2. Prepare for required massive increases in battery production and in toxic battery waste.
See you in 100 years, if ever.
A better answer, if we're talking electrics, is a fast-charge scheme and a battery that uses ambient for it's oxidizer (the source of the battery weight penalty is that it carries it's own oxidizer).