No, kinetic energy cannot exist without mass. Kinetic energy is the energy that an object possesses due to its motion, and it is directly proportional to the mass of the object and the square of its velocity. The formula for kinetic energy is KE = 1/2 mv^2, where m is the mass of the object and v is its velocity.
If an object has zero mass, then its kinetic energy would also be zero, regardless of its velocity. This is because the mass term in the formula for kinetic energy would be zero, and any number multiplied by zero is always zero.
Therefore, kinetic energy cannot exist without mass, and an object with zero mass would have no kinetic energy.