Likely not, then there is NEC requirements, I fairly certain the "common" conductor of the autotransformer needs to be a grounded conductor, though I have boosted 240 to 277 before for some HID lights that did not have multivolt taps and they worked fine.
Corner grounded or ungrounded - 480 volts - not going to find a buck boost that will change the voltage that much, but if it were a high leg secondary - you do have two phases to neutral that are 240 volts and a 416 volt high leg. You could easily boost one of those 240 volt legs to 277 and even have a grounded common conductor.