no
second one was called "Rambo: First Blood Pt.II"
( Thor_sonofodin https://twitter.com/Thor_sonofodin, Wed 27 Feb 2008, 13:10, archived)

Well if you're going to include subtitles
then Rambo 3 still doesn't make any sense even though its full name is Rambo 3: First blood part 3.
( Afinkawan, Wed 27 Feb 2008, 13:11, archived)

it's just called Rambo III

( Cockweasle http://b3nn3tt.mybrute.com, Wed 27 Feb 2008, 13:22, archived)