No, the kinetic energy of a body can never be negative because by definition the kinetic energy is half of the product of mass and the square of the velocity of the body neither of which can be negative.

i.e., \(KE=\frac12 mv^2\), where the mass. m is always positive, and \(v^2\) is the square of velocity is always positive. Hence kinetic energy of a body is always positive.