Hi Jake. The short answer is “yes”. You could use one of the many menu plugins that are available. Or you could do it manually:
1. Create a child theme.
2. Register the menu in the child theme functions.php file.
3. Decide where you want the menu displayed.
4. Copy the relevant file (like header.php) to your child theme.
5. Add the php code to display the menu.
6. Define the menu in Appearance > Menus.
7. Add css to your child theme to style the menu.
Examples are shown on the Codex Navigation Menus page. Probably the bigger issue will be working out the styling for responsive mobile views.
