Yes, The colonization of Mexico by the Spanish led to widespread atrocities, including genocide, that have left a lasting impact on our culture and society.
Spain today is being given its own medicine, with all the unregulated immigration going in, kind of how they illegally entered almost all of Latin America and forced conversion to Christianity. With all the Muslims moving into Spain today, they will probably be a Muslim-majority country in our lifetime.
Many from Spain try to say that it never happened because there are still Mexicans, but they don't understand that "genocide" doesn't mean complete eradication.
The definition of Genocide is the deliberate killing of a large number of people from a particular nation or ethnic group with the aim of destroying that nation or group.