If the amount of current passing through our body breaks the resistance of it then what we feel is called electric shock isn't it? then I think we must get shock from dc current if the amount is considerably high (that means breaks our resistance)
Whoever told you this may be referring to a classroom demonstration where someone is invited to touch a single high voltage terminal (for example in a Van der Graff generator), whilst being carefully insulated from the rest of the planet.
This can safely be done by most people.
However as a general rule it is a very bad idea to touch electric terminals.
When the voltages / currents are low, low frequency AC is more discernible. However, when you go up in voltage, both become jolting and painful.
High frequency AC (i.e. > 1MHz) gets to where you don't notice shock, but you can get severe penetrating burns before you notice something's happening.