I understand that there are no states between $n$ and $n{\pm}1$, so for a particle to get from state $n$ to $n\pm{1}$ takes $1$ step. Also depending on the potential operator function $V$ a particle may jump from a bound state to a scattered state or from a scattered state to a bound state. So for instance a hydrogen atom could absorb a photon with enough energy for the electron to no longer be bound to the nucleus. Similarly an electron nucleus system that starts in a scattered state could emit a photon with enough energy for the electron to become bound to the nucleus.
I was wondering if it's possible for a particle to jump from state n to state $n\pm{m}$ with $m>1$ without crossing through every integer state in between. For instance if a hydrogen atom was in state $n=7$ could it get to state $n=1$ in $1$ step or would it necessarily take $6$ steps to get to $n=1$ assuming the that state remains bound at every step?