My first thought is yes. I assume you need a hip replacement do to severe hip osteoarthritis. This can cause stiffness and pain which lead to altered body mechanics and an altered gait. This can cause uneven weight distribution which puts more stress on the other joints, especially knee, ankle and foot.

As I think about it more there could also be some referred pain in the thigh, knee and lower leg, as the hip joint shares nerves with these other areas.

With long term arthritis of any kind, there is generally weak muscles, as you are unable to use them as u normally would. In this case, this would include the hip stabilizers. This causes the leg to bear more of the load of walking, which could cause pain

There can also be an abnormal posture leading to less than ideal body mechanics and.

This does not guarantee that your pain is caused by the hip problem. The older we get, the higher the chance of having more than 1 diagnosis