I'm an Independent Voter - Can I Vote in the Primary in New York?

No! Absolutely not! Why? Because the party bosses say so, that's why! -- Which is why New York independents are fighting for open primaries.

See IndependentVoting.org

From What Is an Open Primary on eHow:

The following states have closed primaries:
Alaska, Arizona, Colorado, Connecticut, Delaware, District of Columbia, Florida, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Nebraska, Nevada, New Mexico, New York, North Carolina, Oklahoma, Oregon, Pennsylvania, Rhode Island, South Dakota and Wyoming.

• 2 Insurgents Could Hurt G.O.P. Chances for Senate Takeover (By NATE SILVER, NY Times/FiveThirtyEight)

Lenora Fulani is supporting Pedro Espada for State Senate - see here and here:

Pedro Espada, Jr.: Independent Reformer for New York

NOTE: Every politician and their brother is attacking Pedro Espada. That's because he's independent. The parties don't control him and he went up to that cesspool in Albany - aka the New York State Assembly - as a real reformer. The Hankster, for one, will be volunteering for Pedro's campaign this weekend.