The Knicks could field an entire NBA roster of nobody but the players they own the draft rights to from previous drafts.
The Knicks currently have 16 players they own the draft rights to that are still currently playing basketball.
Their draft rights roster currently consists of (with height, listed position on basketball reference, current club, and draft year);
- Chinemelu Elonu (6'10" center, Al Qadsia, drafted in 2009)
- Sergio Llull (6'4" guard, Real Madrid, drafted in 2009)
- Emir Preldzic (6'9" forward, KK Orlovik Zepce, drafted in 2009)
- Latavious Williams (6'8" center, Al-Ittihad Jeddah, drafted in 2010)
- Bojan Dubljevic (6'9" forward/center, Casademont Zaragoza, drafted in 2013)
- Louis Labeyrie (6'10" forward, Gran Canaria, drafted in 2014)
- Dani Diez (6'7" forward, Longevida San Pablo Burgos, drafted in 2015)
- Luka Mitrovic (6'9" forward, Crvena Zvezda, drafted in 2015)
- Nikola Radicevic (6'6" guard, Dziki Warsaw, drafted in 2015)
- Juan Pablo Vaulet (6'6" forward, Zunder Palencia, drafted in 2015)
- Wang Zhelin (7'0" center, Shanghai Sharks, drafted in 2016)
- Ognjen Jaramaz (6'4" guard, Saski Baskonia, drafted in 2017)
- Rokas Jokubaitis (6'4" guard, Bayern Munich, drafted in 2021)
- Hugo Besson (6'6" guard, Tofas, drafted in 2022)
- James Nnaji (7'0" center, FC Barcelona, drafted in 2023)
- Melvin Ajinca (6'8" forward, LDLC ASVEL, drafted in 2024)
[Source](https://www.basketball-reference.com/draft/draft\_rights.html)
This only lists currently active players, though BBRef has not yet been updated to reflect the most recent trades that sent the draft rights of Labeyrie, Elonu and Ajinca to the Knicks.