It absolutely can. When an account was in existence before the marriage, a portion of it may be non-marital. That portion will not be subject to division in the divorce. With a prime contribution plan, it's also impossible to determine the account balance as of the time of the marriage.
A good piece of advice maybe upon a later remarriage is to retain that last monthly statement prior to the marriage and all year-end statements thereafter, which will make it much more simple in the event of a future divorce to determine which portion is marital and which is non-marital and what is actually subject to division.