On the contrary: You have to be a barbarian
Levels in the Bloodrager does not gain any Rage Powers at all.
Blood Rage Powers are a type of Rage Powers that were introduced in the Advanced Class Guide, that allow a Barbarian to mimic some parts of the Bloodline Powers of a Bloodrager. Blood Rage powers are presented in the ACG's Archetype and Class Features chapter, under Barbarian. The text states (emphasis mine):
Any barbarian meeting the prerequisites can take the following new rage powers. Blood rage powers grant powers in a theme. A barbarian cannot select from more than one group of blood rage powers. [...]
The major prerequisite for taking blood rage powers that the character is eligible to take rage powers, which in most cases requires them to be a barbarian (or count as a barbarian for the purpose of rage powers).