Yes. As I say it's all about getting your form right first. The speed comes with good running technique. If you are over-striding you risk injuries. Your hips should have hardly any up and down motion. Your foot should land on the ground just underneath you. If your foot is landing out in front of you you're risking heel strike and other problems that can cause injury.
On a slow run, your cadence will drop only slightly, you're mainly just taking smaller steps.