No, this is not possible given how trademarks work.

The names shown on Brandpa can be used by any industry in any geographical location offering all sorts of services. Since a trademark protects a name that belongs to a specific industry in a specific location we cannot take care of this for you as we don’t know what industry your name will belong to.

Before you purchase a domain name, we advise you undertake your own research on how protectable the name is, for your location and intended purpose.