A good question with a simple answer: NO. One of the rules of Data Sufficiency is that the Statements can never contradiction each other (or contradict any information already given as true in the prompt). If you get different values for Statements (1) and (2), or if you get a "Yes" from Statement (1) and a "No" from Statement (2), it in fact means you've done something wrong, as this is not allowed on the GMAT.

Sometimes this can actually be usefull strategically. Imagine a question where, after doing the math, you have the following thought process:

Question: Some Yes/No DS question.

Statement (1): I'm definitely positively sure that it's Sufficient and the answer is "No."
Statement (2): I'm pretty unclear about this, I tried numbers and got mostly "Yes" answers, so I think it's Sufficient, but ... huh?

In this case, your best bet is to guess A, because (2) is probably Insufficient. If you are sure that the answer, according to (1), is "No," then there HAVE to be "No" possibilities that work with (2) also, even if you can't find them. Since the Statements can't contradict one another, and you know that "Yes" answers are possible with (2), that's enough to know it's Sufficient.

Obviously this isn't the ideal way to approach a problem, but sometimes this kidn of guessing strategy is better than nothing.