Not necessarily. Double entry bookkeeping catches errors in cases where an amount posted to one account does not have an equally offsetting post in another account or accounts (i.e., it catches errors when the books do not balance). It would not on its own catch errors where the original posted amount is incorrect due to a mistaken assumption, or if the offset balances but is allocated incorrectly.

Well the other ledgers are usually based off other data sources, so there is cross checking no?