The average kinetic energy of gas particles is proportional to the temperature of the gas. If we compress the gas without changing its temperature, then the average kinetic energy of the gas particles will stay constant. There will be no change in the speed with which the particles collide if you increase the pressure (isothermally).
You may have increased the frequency at which the particles strike the container’s walls and each other, which decreases the mean free path, but their kinetic energy will stay the same.