Okay, yes, I was wrong - I was mistaking that for the Tesla product. That probably will work.
What could get messy is the pilot signal, which is the thing that tells the vehicle how much current is available from the EVSE. If that reports incorrectly, or says more is available than the device can actually source, you could overload the wiring feeding the box, and the internals of the box.
At least in the USA, up to now, the maximum the i3 can use to charge level 2 is 7400W, so depending on the voltage supplied, you may need up to about 32A to max it out. The protocol is for amps, though, not watts. A nominal 240vac supply will need 30.8A (7400/240). A 32A unit would allow the i3 to maximize its internal power supply. My local supply voltage tends to be 248vac, and with my 30A unit, it could provide 30*240=7440W, or enough to max out my car's charging capabilities. Some commercial power tends to be 208V, so 208*32A=6656W, or quite a bit short of maximizing the i3's lust for power. But, since it reports the amount of amps available, the car won't try to pull more than the thing says it has.
2011 535i x-drive GT, 2014 i3 BEV