Yes, in certain circumstances, you can challenge domain names that are identical or confusingly similar to a registered mark, particularly where the domain is being used to trade in the same or related goods and services.
Domain disputes are commonly conducted through the Uniform Domain-Name Dispute-Resolution Policy (UDRP), administered by WIPO, which allows trademark holders to challenge domain registrations without going to court. A successful complaint can result in the domain being transferred or cancelled.
For court proceedings, a trademark registration in the relevant jurisdiction gives the owner legal grounds to pursue an infringement claim if the domain holder is trading in a way that creates consumer confusion with the trademark owner's brand.