Sources checked on
The answer
No. It becomes live when kicked and clearly moving; leaving the corner area is unnecessary. Distinguish this from positioning it before the kick.
Practical example
For a short corner, examine the sequence of actions rather than deciding from one still image whether play has restarted.
What to check
Check the relevant edition of the Laws of the Game and competition regulations. Sporting rules and bet settlement rules answer different questions. The examples above do not describe an actual event.