Quite so, Regulo. Let's get out our calculators. A mid-size EV needs at least 50kWh of energy capacity to deliver a reasonable range. So let's say we need to 'put in' 40kWh of energy in 2 minutes at the 'pump'. That requires a power level of over a megawatt. I'm not sure anyone wants to trust Joe Public to fit an electrical connector delivering that sort of power - I've worked in large computer farms with that size of power supply and the number of ways of killing yourself are quite extensive (while the connectors used are too heavy for one person to lift). And if you've got a dozen cars 'filling up' simultaneously (not unreasonable at a busy service station) you're going to need something like an overall 15MW supply. That's well into non-trivial territory.
Then there's the inevitable inefficiency of recharging, which means there's going to be many kW of heat produced, which must be safely disposed of. Today's 'fast' chargers take half an hour, rather than two minutes, to deliver this amount of energy and handling the waste heat is a major constraint on the process (as, of course, are battery limitations - but they're often limited by heat, too).