No, "vice versa" means with the order changed, or with the relations reversed, or conversely. We use it to indicate that a statement would still be true if some of the words in the sentence (often the subject and object, it seems to me) were transposed.
At the moment, you may see that information at the Merriam Webster on-line entry, with an example: "...Alexandria Ocasio-Cortez... has endorsed Nixon (and vice versa)." The meaning is that if we switched the positions of the names to produce the claim that Nixon has endorsed Alexandria Ocasio-Cortez, that resulting claim would be true.
But if you should say that 1 is the predecessor of 2 and 2 is the successor of 1 and vice versa, you would be saying that 2 is the predecessor of 1 and 1 is the successor of 2. That that statement would be incorrect; because in fact 2 is not the predecessor of 1 and 1 is not the successor of 2.
The two expressions (and so on, vice versa) seem perfectly proper to me in formal or informal contexts. But I suppose that the words "and so on," and the expression "etc.", are often used by lazy speakers to hint at further examples in a way that leaves us just guessing what they might be. So perhaps one should think twice before using them.