If you’re going to Tandon and you want to live on-campus, you are required to live on one of the two Brooklyn campuses - unfortunately you won’t be allowed to live on any of the Manhattan campuses.
This page is where you can go to find all the info about residence halls:
http://www.nyu.edu/students/student-information-and-resources/housing-and-dining/on-campus-living.html
and this PDF shows last year’s room costs:
https://www.nyu.edu/content/dam/nyu/resLifeHousServ/documents/ApplicationsandAssignments/RoomRates2016-17.8.pdf
You can see that there are single rooms, so yes, you can get single bedrooms (for an extra cost!).