And unlike the US, RCMP officers are allowed to cross provincial lines. I've heard of American criminals cross a pronvincial border and stop to make fun of the RCMP, who proceed to cross the border and arrest them. Of course, that could just be an urban myth *shrug*
It works like that here, but not provincial: just over international borders. You can get arrested in New York for extortion in Florida.
Not without going through some loopholes.
For example: county DPS officers are not allowed to give civil traffic tickets within city limits, and city police are not allowed to give civil traffic tickets on state highways. They do not have jurisdiction.
To be arrested in one state for a crime committed in another, it usually involves a federal agency that has overarching jurisdiction than either state. Just like in international cases, a state has to go through an extradition hearing to get someone tranported from one state to another for a crime.