Legal Question in Criminal Law in Florida

Yes.

On a misdemeanor, yes. On a felony, generally not, but it depends on the circumstances. If, for example, the defendant or his/her lawyer waited until just before the trial, then said, "I/we need more time to do the depositions," the judge is allowed to say, "Too late, you wasted your time." But, absent a reason, a judge can't say, "Trial is next week, and you don't have time to do depositions." A defendant has a right to prepare, which includes taking depositions.