So my question is can someone be BPD and not have suicidal or self harming traits?
Yes. My ex never threatened with suicide. And he does not self harm in the sense of cutting himself.
He does self harm by binge drinking, diving nose first into Columbian white powder and all over getting himself in trouble with women and at every job he has ever had. So it depends on your definition of self harm.
Mine didn't scream a lot either. He mostly did the silent treatment, hateful looks, revenge actions to punish me while glancing at me with a malicious face and hissing something at me with a distorted face if I did or said something "that was not to his liking".