不可以.no,not that one是指提到的是可数名词,而no,not that 指不可数名词.如：
1.---Would you mind if I borrow a book in your library?
---Not at all.Here you are.
---No,not that one.This one ,please.
2.---Hi,waiter!Could you give me some juice?
----Ok.Now here you are,sir.
----No,not that.I want to have some water.