Hispanic means Spanish-speaking, and therefore includes Peruvians. In practice, it's mainly used in the US for immigrants from Spanish-speaking countries and their descendants, including residents and citizens of Peruvian descent.

Peruvian nationality is typically obtained either on the principle of jus soli, i.e. by birth in Peru; or under the rules of jus sanguinis, i.e. by birth abroad to at least one parent with Peruvian nationality.