As has been said already, a hacker employing a "brute force" attack, where they simply try every single permutation of the same length as your password, they are no more likely to break todays password as next months password.
However let's assume the hacker somehow succeeded in breaking your password last month. Then when you change your password this month, they must go through the process all over again, and the hacking process will take just as long... Or will it? Suppose that the hacker has broken your password a few times in the past, the hard way. Usually they don't succeed, but sometimes they do. An intelligent hacker will look at all these passwords and look for patterns. Now most of us will more than likely end up producing patterns in our passwords, especially if we have to produce one once or twice a week, or maybe more often in some jobs? These patterns won't be blindingly obvious, perhaps you have a slight tendency to use characters from the right side of the keyboard slightly more than characters from the left side, maybe 49.9% of characters come from the left side and 51.1% come from the right side. This information will slowly leak out of your passwords, and the more of your previous passwords the hacker has the more information they will likely obtain.
This information could be used to search a particular region of the permutation search space first, then simply searching the remaining space at random if the original search fails. This search will probably not hasten the cracking of your passwords by huge amounts, but it does none the less increase the probability that a hacker will crack your password within the time frame you use that password.
The above is really simple stuff, and in reality i have no idea whether it will be in any way practical, I've never tried it. But it does show how an intelligent hacker could theoretically start cracking your passwords, and that an intelligent hacker won't simply use a random search. It also goes to show that you should probably use some form of respected random number generator to produce a password, one that is respected among cryptographers wouold be a good choice.