Yes sir. Provideciales is located somewhat near the center of the archipelago, while Grand Turk is a few Island to the east.
A far greater majority of the crime in T & C is in Provodenciales (Provo). And most of the violence gas been perpetrated by Jamaican drug gangs. Waged almost exclusively on those involved with them. This shooting of a tourist is an extremely isolated incident.
Not to be insulting to anyone, but IMHO if you feel unsafe in GT then you probably shouldn't debark in any Caribbean or Bahamian port. Jamaica, DR, Mexico and Nassau all have much higher crime rates than the T & C. Including Provo.