Welcome to the board!
Yes, cancer does spread to other organs, but typically they are not the early targets for spread, and it may take a long time for the cancer to spread to other organs, or it may never do so.
The usual first sites for spread are the lymph nodes and bone, especially bone in the spine and pelvis near the prostate. Dr. Charles "Snufffy" Myers, MD, an expert medical oncologist specializing in prostate cancer, wrote " ... the most common site for bone metastases is in the lumbar and sacral spine. The cancer cells in the blood can also ascend to the right side of the heart, where they are then pumped into the lungs. The cancer cells can lodge in the lung wall, but only rarely grow large enough to detect and even then generally don't impair lung function. The cells that pass through the lungs are then pumped out to the rest of the body by the left side of the heart. While this path can lead the cancer cells anywhere in the body, they can actually only grow in the liver, which is rare, or in the adrenal gland and bone, which are common." This is from his book "Beating Prostate Cancer: Hormonal Therapy & Diet," on page 36 in my original edition, in a section titled "How Does Prostate Cancer Spread"/"Spreading Into The Blood Stream." He follows this with a subsection titled "Spreading Into The Lymph Nodes." I think the cells can also spread by invasion, rather than hitching a ride in the blood stream, to the bladder and kidney, but I don't know how Dr. Myers would describe that.
Would you mind telling us why you are asking? Have you been diagnosed, or do you need help understanding prostate cancer to help someone else? There's a lot more information you might find helpful. One key fact is that in many cases, but not all, prostate cancer is a slow growing disease, usually very unlike pancreatic or lung cancer, which typically grow fast.