Welcome to the web hosting forums! Yes, you should be able to install and run WordPress here with no problems at all - if you were having issues with your previous host and running WordPress let us know, and perhaps we can tackle some of your specific questions.
In general though, you get a
from me - mainly cause I am a big WordPress fan myself, and we even use WordPress to run our Lunarpages blog, Lunartics
Hope that helps, if you have any other questions, please feel free to ask!