Does that mean that if i get a tourist visa my WP visa would not be overwritten by the Tourist Visa !!

Can we have 2 different UK visas of different categories

Hello Friends, I have a query and hope i would get an answer here. I want to travel to UK and have a WP Visa but my company has delayed my trip until further notice. I need to travel to UK urgently and therefore wondering if i can apply for a Tourist Visa without my WP visa getting cancelled. Please...