Yes, with some caveats. For an authoritative source, please see the monograph Koon et al. "Dynamical systems, the three-body problem and space mission design"

The short story is that with more than 2 large bodies, trajectory of a spacecraft is "chaotic", and hence under some conditions, it can be shown that horshoe-type dynamics exist. In other words, if you label the regions around each large body with an alphabet, any arbitrary string of alphabets can be achieved"

Also see: http://www2.esm.vt.edu/~sdross/papers/AmericanScientist2006.pdf