Yes it is possible. I have found a couple of ways to propagate them from seeds. 1. Taken from Native plants QNW. Collect seeds in the fall,remove fleshy fruit covering and plant immediately in outdoor flats. Germination may take 18 or more months. Scarification and a warm stratification at 60 degree F (15 C) for 60 days. Followed by a cold stratification at 40 degrees F (4C) for 3-4 months may hasten germination. Prefers moist well drained sites. Usually understory tree in open forests.
2. Propagation of Pacific dogwood trees. Taken from Mr. Smarty-pants, answered by Guy Thompson. Pick ripe fall berries that are completely red-orange and come off the tree easily. Remove the fleshy coat from the seed and plant outdoors in the fall. Alternatively, the cleaned seeds can be stored over winter at 30-40 degrees F and planted in the spring.Plant 1/2" deep. If planting in flats space about 6" apart.Transplant seedlings into a partially shaded outdoor site. It is recommended: continued
Continued: planting the seeds directly in the soil in your chosen site because it has been reported that germination can be very slow, even up to 18 months. Hope this helps. There is at least one more way to propagate them you can find when googling: growing Pacific dogwood tree seeds. Good Luck🌞