Yes, it's possible. You can use a DNS service like Amazon Route 53 that routes the user to the nearest server.

Thanks for your reply, but what I meant was how can you replicate the Apache configuration on both servers to display the same website (so when you update a website it updates across all servers) ?

Thanks again,
Francis

If the servers are in the same location, you can use 1 droplet as a NFS server and mount that on all servers. You can do this even if the servers are not in the same place, but can become a huge problem.
There's also different ways ( like syncing files on update with some custom made scripts - lsyncd is an example )
Also, the sessions between the servers have to use a memcached server

I personally recommend SaltStack. Set up a salt-master server and three salt-minions which are the webservers and use states to replicate configuration.

Install Saltstack: https://salt.readthedocs.org/en/latest/topics/installation/index.html
This should get you started with states: http://docs.saltstack.com/topics/tutorials/states_pt1.html