Negative. Jeopardy attaches as soon as the jury is seated and the first witness is sworn in.
Theoretically, ... however there are numerous situations where Double Jeopardy has been denied by Courts and Judges citing Manifest Necessity, denying the accused a Jury Verdict and prosecuting a second time.
Lately, there have been attempts to apply Manifest Necessity to unpopular defendants in Dismissals With Prejudice citing the lack of a Jury Verdict.
The Swamp controlled and loving Unelected Bureaucrats are striving to end Double Jeopardy and any Statute Of Limitations that hinder their power to prosecute.
Rittenhouse is an especially sweet prize. The Marxist Left could care less if and when Jeopardy attaches.