No. You are making a common mistake of confusing the English "if" with the logician's if. When we are not talking about one thing depending on another ("if I get my car fixed, then we can go to the movies"), but rather logical implication (two statements that relate in their truth value) ("if it is raining, then the ground is wet"). Is that statement true if the ground is wet from a sprinkler, but yet it is sunny?, Yes, because we are only told what happens if it is rainy. But if it is NOT rainy, we aren't making any conclusion about the wetness of the ground, so the combined statement is still true. The only time it can be false if the hypothesis ("it is sunny") is true, but the conclusion ("the ground is wet") is false.
(read articles about implication for more details)
--gejyspa