No. The MLB team closest to a Kentucky border is the Cincinnati Reds.
Cincinnati Reds
The Cincinnati Reds's 2014 team salary is $112378772, 11th in the MLB.
Cincinnati red stocks
The present-day Cincinnati Reds.
The San Diego Padres are the closest MLB team to Mexico, 10 miles (16 kilometers) away from the US-Mexico border.
The Cincinnati Red Stockings were the first team in MLB history
Cincinnati Reds
Alfredo Simon plays for the Cincinnati Reds.
Aroldis Chapman plays for the Cincinnati Reds.
Billy Hamilton plays for the Cincinnati Reds.
Brandon Phillips plays for the Cincinnati Reds.