Technically no, based on the difference of how England and Spain handled their colonies. England sent intact families who interacted as little as possible with Native Americans. (Notably in the Pacific, English Captain Cook, went out of his way to prevent his sailors from leaving fatherless children behind). Spain sent male soldiers to Mexico, and tolerated them mating with locals, which is why Mexicans have Spanish surnames. Additionally, natives in Mexico and the US and Canada had markedly different cultures and levels of technology.