6/4/19: Updated for the 2018-19 school year.
Yes, all tests, both paper-based and computer-based tests, are untimed tests in New York State. Below is an example of the guidance provided in the SAM for the English Language Arts (ELA) tests:
"The 2019 Grades 3–8 English Language Arts Tests will be untimed. Students should be given as much time as they need to complete them within the confines of the regular school day. On average, students in Grades 3–4 will likely need approximately 60–70 minutes of working time to complete Session 1 and 70–80 minutes of working time to complete Session 2. Students in Grades 5–8 will likely need approximately 80–90 minutes of working time to complete Session 1 and 90–100 minutes of working time to complete Session 2." (Page 4, 2019 SAM)
You can locate guidelines for the typical amount of time expected for test-taking during test sessions in the School Administrator's Manual (SAM).