Assuming you are on a paid plan, then yes, you can create a board which you can only see and then add specific users to the sharing list.

Kiron

@Gizem - Here are some links to additional information on the subject of private boards, as well as how to share with select team members by either adding them to select boards or to entire projects that your boards are in.

How to Create a Private Board

Sharing Boards and Inviting Collaborators

How board (and project) sharing works in most paid plans (this post talks about the Education Plan, which has the same sharing functionality as the paid Team Plan).

@Robert Johnson Thank you so much! :)