Absolutely. I should let you know a bit more of what you are looking at though. Think of us as the landlord that is renting you a house, and Wordpress as the refrigerator that you want to install in the kitchen. You can absolutely install any refrigerator that you like. However, know that installing and maintaining that refrigerator is up to you. If you do not know how to install or maintain one, you may seek to hire an expert to do this for you, as this is not a service that we specifically provide.
Now we do have a one-click image for Wordpress. It will require you to know how to connect over SSH, and it will require you to keep the system up to date and secure. If you wish to learn how to do these things, excellent! If you already know how to do them, even better. If you just want it to be done and not something that you worry about, then you will need to hire a system administrator to help you manage the server from time to time.
Hope that helps :)