Certified GKH Gardening Expert
Yes, you can plant the seeds but most people have better luck with dividing the tubers instead. Seed plants will also take longer to mature and bloom. The seeds can be sown in shallow beds with well-draining soil during fall or early spring.
For anemone growing instructions, this article will help: https://www.gardeningknowhow.com/ornamental/bulbs/anemone/anemone-windflower.htm