Most R134a systems are charged through the high side.
No a/c is charged thru the high side however you can preliminarily fill one using both ports but the high side has to be closed before running the system and finishing charging it!!!
A/C high side pressures are enough to explode a hand held can and at least blow the disc on a bottle and common sense should dictate this knowing the temp/pressure characteristics of gasses.
R-134a having a 32 degree evap @ 26 psi @ 70 degrees ambient for instance.
You need to have the system sucked out and weighed before you would know the state of charge its in and after that the tech will make suggestions but it sounded like it was low and freezing up to me and the fact you were not able to get any in makes me think the charging hose etc was to blame for that in some way?