Don't know if a Tesla destination charger's owners will be happy having something other than a Tesla attached! Probably won't care, but you might want to check. I'm not sure who is paying for those.
Functionally, though, the i3 can hook up to anything that has a J1772 plug. Assuming you have the dc charging capability, then any CCS unit can provide DC power charging.
Also note that while the i3 can handle up to 7400W (in the US), not all EVSEs out there can max it out. There are a lot of commercial units that are fed with 208vac, so 208*30A (and not all of them can produce 30A) is only 6,240W, about 16% less, so charging times will be longer.
2011 535i x-drive GT, 2014 i3 BEV