I have several “Native American ancestors” in my past, but I have no Native DNA

So on both my maternal and paternal sides I have multiple ancestors that have Native American records attached to them (moved to reservations, applied for tribal benefits or memberships) but I have zero non-European DNA.

Is it possible all these multiple ancestors are misidentified as Native American? They’re all 7-9 generations back. Is it possible me and my recent ancestors just didn’t get any of the native dna?