No, the two NBA players are not directly related. Vince is from Daytona Beach, FL and Anthony grew up in Atlanta, GA. Vince was an All-American, while Anthony dropped out of high school and later earned a GED.
Gundy reportedly traded Vince Carter and Rashard Lewis because he thought their stats weren't as good as they needed to be! Vince Carter and Rashard were together making over 40 million a year! They were only putting up a combined 20 points! Not worth it, I say.