Yes, you can.  Your valid foreign driver license allows you to drive on any street, road, highway, bridge or tunnel without a supervising driver.
Is you driver's license printed in the English language?
It is not written in English.  Is there something extra I need to do to get my NY State driver's license?
If it is not printed in English, you must bring an International Driving Permit or a certified translation of your driver's license to the road test.  That translation must be certified by a consulate, the US Department of State, or another official agency.