Can BlazeHeartClan be a warrior cat name?

No, sorry. I think you're confusing a warrior cat name and a Clan name. 'BlazeHeartClan' is somewhere between the two. Blazeheart could be a cat's name. BlazeClan or HeartClan could be a Clan name. But BlazeHeartClan just doesn't work. In addition, no cat's name ends in Clan. Only the names of Clans (such as ThunderClan) do.

~cqpkytty