Can ticket be dropped if you get insurance before the ten days are up for no insurance ticket?

It is the charge, not the ticket, that would be dropped, and the ten days is for the driver to produce proof there was insurance at the time of the citation, not later. If the citation was not issued because of an accident or other moving violation, it is possible the court would dismiss the case, or continue it without a finding, to be dismissed if there are no further violations (usually in 6 months or a year).