First, the meaning is different.
1, at any time: at any time means forever, forever, forever.
2. No time: No time means immediately, immediately, immediately.
Second, the emphasis is different.
1, at any time: focus on negation at any time.
2. There is no time: there is no time to focus on time and speed.
Third, the usage is different.
At no time should you give up studying. At no time should you give up studying.
2. Soon; Finally; He predicted that my hair would grow back "soon"? He predicted that my hair would grow back in the blink of an eye.