Do permanent residents who are not inside the United States have Constitutional rights?

[gaazn]

And does it matter if say someone pushed you or kidnapped you over the border ( not by your own free actions)?

[Jamesiv1]

And does it matter if say someone pushed you or kidnapped you over the border ( not by your own free actions)?
not sure what you mean.

you mean a US citizen who is a permanent resident of the US, but happens to be elsewhere on vacation or some such?

give an example or be more explicit.