Yes. Every plan has four privacy levels:

• Private — only you can see it. Default for new drafts.
• Friends — visible to people you've followed who follow you back.
• Followers — visible to anyone who follows you.
• Public — visible to everyone, indexable by search engines, eligible for The 12 picks.

You can change a plan's privacy at any time. Changing public → private hides the plan from search results, but couples who already saved it keep their copy.