In some places people have a superstition that if a cat crosses your path from right to left, it's a sign of bad omen. It's also said that if the cat crosses from left to right, it's a sign of favorable times.
Actually, it probably means (according to superstition) that the cat is going elsewhere and taking its bad luck with it. So, you might be lucky if you go the other way. If it comes close to you, on your right, than that cat no longer has bad luck and you're going to have a neutral day (concerning luck). If it comes close to you on your left side, then, at least in dreams, you're going to doubt your intuition or you "are experiencing some fear in using your psychic abilities"