Typically all the 120v sockets in one room (or both sides of one wall) are wired to one phase, to minimize the amount of wire needed.
CAREFULLY, one could identify two sockets, each on a different phase. Then, by constructing a "Y" type pigtail to plug into both sockets, get 240v, usually from 15-amp breakers (occasionally on 20-amp breakers). NOTE: most people should NOT attempt this.
Assuming the 15-amp breakers, that "connection" could provide 15 x 80% = 12 amps at 240v to power a 240v "EVSE".
However, without the "max current" square wave "control signal" to the car from a 240v EVSE ... the default might be "Error", so the EVSE-compliant LEAF would probably not charge.
Some extra circuitry would probably be required.
For a 120v EVSE, I think there might be a "max current" of 12 amps assumed without the square wave, and that default might also apply to the 240v EVSE.
Without the current J1772 standards document, I do not know for sure.
See SOC/GID-Meter and CAN-Do Info
2011 LEAF, 2014 Tesla S85
2018 & 2019 Tesla Model 3
Solar PV: 33 x 225W -> 7 kW max AC
Craigslist: Xm5000Li Electric Motorcycle