Did this stand do this to cause this?
Could have? Maybe. But did he do it? Probably not at that time.
The reason why Star Platinum was able to catch that bullet wasn't because Star Platinum stopped time, but just because of it's immense speed and precision.
There's also some speculation that Jotaro isn't really able to stop time in the same way that The World can but rather that he is just so fast that it seems like time has stopped.