Up to a very limited point, yes.
I agree with
George: Americans, I think, have a stereotypical model of certain foreign accents which may or may not be accurate. For instance: French speakers replacing the hard "th" sound with "z" ("zis is ze way zey talk"); Germans replacing "j" with "ch" ("chust a minute"); Japanese confusing "r" and "l"; etc.
But this only goes so far. Certain accents, I think, are just plain "foreign," without being identifiably specific to a single locale. Some actors have made careers out of being
unidentifiably foreign: for instance,
Omar Sharif, a native of Egypt, has been Arab, Russian, Austrian, Cuban, Italian, and Genghis Khan (!).
Anthony Quinn, a Mexican by birth, could be Greek, Arab, Italian, American Indian, Spanish, or Kublai Khan (!!). All that mattered, it seems, is that they had some kind of an accent, not that they had a particular kind.