Yes, the American Community Survey (ACS) has data on Hispanic groups other than Mexican, Puerto Rican, or Cuban. The ACS questionnaire contains a Hispanic origin question, which includes a write-in section for respondents who identify as another Hispanic, Latino, or Spanish origin, such as Salvadoran, Dominican, Colombian, and so on.
You can access data for Hispanic groups using a variety of tools, such as data.census.gov, the Application Programming Interface (API), ACS Summary File, and ACS Public Use Microdata Sample (PUMS) files. Visit the ACS Data Tools page to learn more.
Table S0201 and Table S0201PR (also known as Selected Population Profiles) provide many population characteristics at higher geography levels, and can be selected by race and ethnicity for detailed Hispanic or Latino groups, such as Nicaraguan, Peruvian, and more.
Finally, the Census Bureau releases the Selected Population Tables and American Indian and Alaska Native Tables about every five years for selected race, Hispanic origin, tribal, and ancestry populations. This data product contains the greatest level of statistical detail for specific population groups.