Is there any agency in the idea of suspending the wires, rather than running them across a pavement?
Using
@Russinating's picture as an example, I'm thinking a simple pylon that can be mounted to the gatepost that can swing out over the pavement, holding the cable aloft to the kerbside, where it can drop down to the charging point of the car.
When not in use, it can be folded back on itself by the gatepost - perhaps even telescopic to an extent so it can be hidden away.
If pedestrian access is the issue, is that not a better solution? Much uglier I guess, but more practical from an access perspective? It might also make reaching the charging socket on the car easier if it's not parked directly outside the house.