Yes, everyone has their own personal Will. There are some documents couples might want to to do together such as a joint trust but even within that document each person makes their own decisions and signs the documents.
If you are married, you would still do your own will and decide to include your spouse or not include your spouse in your documents. If you intend to do it alone - select NO to the question about doing this plan with your spouse or partner.
If you are doing this plan as a couple it's best to sit together so you get the full experience of the education and talk about decisions that affect each other.