No.

They are orbiting Earth, 16 times per day. Earth is orbiting the sun. While we on earth take a year to make it around earth which is around 150 mil km, the ISS is 400 km above us, and travels 16 times per 24h around Earth, equals 700 000 km every day, multiplied by 365 is 256 mil km every year, 156 million km minus 256 mil km = the ISS makes 100 million kilometers more distance every 1 full Earth's orbit around Sun.

According to general relativity theory, the time for us goes faster on earth relative to ISS, while the ISS time pass is slightly slower relative to earth. But it's really a small difference. That's why I didn't bother to take ISS rotational movement and direction of travel against light direction into account.