Verdict
Yes — you can hold India and United States citizenship simultaneously.
India
Dual citizenship policy
OCI card (not full dual citizenship) — grants lifelong residency, work, study, and property rights in India but NOT voting rights, public office, or Indian passport.
United States
Dual citizenship policy
Generally permitted — U.S. law does not require a citizen to choose between U.S. citizenship and another nationality.
Both India and United States permit dual citizenship. You can acquire, hold, and use both passports simultaneously without legal restrictions.
This assessment is based on each country's current nationality law. Dual citizenship rules can change — always verify with the relevant consulate or an immigration attorney before making decisions about renunciation or acquisition.