If a patent is owned, can i get control of a twitter handle


The company I work for owns the patent for the name of the company. I recently took control of social media marketing and whoever was in control of the social media handles before me did not scoop up the company name. As I am trying to get this sorted out, I wanted to see if there was a way to get control of a specific handle if it is not being used, especially if my company has the patent on the name.

Thanks for the help.