Is it possible to build a map like this with wordpress?

We have been tasked to rebuild this site with wordpress.

I have a moderate knowledge of the wordpress dev and have produced 6 functional sites with purchased themes. But I am hoping for some feedback if a site like the one above would be possible, if I should even entertain the idea of starting the process. Mobimaps needs the custom map images (not google maps) to function like they do on the above page. The dropdown menus at the left would need to be easily updated from the admin with location coordinates and contact information. I have not found a plugin that would allow this - perhaps we could pay for someone on your team to develop one?

I am turning to you, the wp gurus to point me in the right direction.

Thank you.