Yes, anyone can be an artist, potter, writer, etc. That's the beauty of a free society. If I as a Christian, proclaim my faith in a Muslim culture I may be killed for my faith, here in this country, I have the right to enjoy my faith.
The issue is not the label, it's the consequences of that label.in the society we are in..
When pottery was an economic force, those who held the power to grant the status as a "master potter" held the economic viability of that person in their control.
With great freedom comes great responsibility. I call myself an artist as well as a potter. I am responsible to others that I know my craft. As an artist, I am responsible to know and understand my materials and not misled people into thinking I know more than I do. The art police don't check if I am using permanent color fast pigments, it's my personal responsibility to learn this, so to just pick up paints and canvas and create does not(IMO) an artist make.
Worse case, my paints peel from my canvas and the customer feels cheated. As a potter if I don't understand how to choose the proper clay for the temp I fire, the customer gets burned by a microwave issue by an improperly fired mug.
There is a moral responsibility to all of our actions. Our responsibility rises with the degree of risk we ask others to trust us with.
Just a few thoughts.