Is it possible for a statement to be partially true and partially false?

Yes and no. But seriously, now. First, a "conjunction" (an and sentence) might have a true part and a false part: "2 > 1 and 7 > 9". But the usual view of logicians is that a sentence like that is simply false despite having a true conjunct: its truth requires precisely that both conjuncts be true, which is simply not the case. Similarly for "all natural numbers are either less than or greater than 3"---it's simply false, even if there's only one exception among the infinitely many natural numbers. Second, a sentence can be ambiguous, and true on one way of understanding it, but not on another. "Bill Gates contributes generously to charities," for example, might be true if by "giving generously" we mean "giving a great deal of money" but false if we mean "giving so much as to make for a significant sacrifice on the part of the giver". I suppose that if we use this sentence without intending one of those meanings rather than the other---so that it remains ambiguous---it might...