Can a state suspend an out of state license?
Yes, it is possible.
The state that you were arrested or ticketed in can send
documents to the department of transporation in your state
requesting suspension if the offense warranted it. The thing that
has to be looked at is "was the offense committed in the current
state a suspendable offense in your state." If not, your state may
not suspend your license. But you may be restricted from driving in
the offense state. This is a common occurrence with OWI/DWI
convictions, and most states will suspend your license for a
conviction on this offense in another state.