oh yes, u can be train during the change of an B1/2 visa to an M1 visa.U can even be trained on your B1/2 visa.
here my secret (do not tell to a US officer, they will place u on the terrorist list).enter in the USA with a B1 or b2 visa.
when in the USA, go in a fixed based operator (FBO), take some business card you will find around.Call several CFI, ask them if they have a plane to rent and the next day u will fly in the wonderful US sky.
the pilot in command has final authority (PArt 61,????), INS has no authority on a pilot in command.
it's the law!