If an police officier makes a mistake on a ticket can the charges be dropped in court due to officer error?

It MIGHT depend on the mistake you are referring to, but usually NO, it doesn't make any difference.

In the law these are referred to as "scriveners errors" and if enough of the information contained on the ticket is sufficient to prove that it was actually YOU that the officer was ticketing, then a wrong date, or a misspelling of a name will not do the trick.