Sort of. You still need to explain the Sun moving along the eliptic- Ptolemaic astronomy that is done by having the Sun rotate around the Earth just a little slower than the stellar sphere rotates around the Earth. On occasion there were even a few people who hypothesized the Earth rotating to explain diurnal motion but kept the planets orbiting around the Earth. But reasons involving the mixed up internal logic of Aristotelian physics having the Earth move at all weakened the impulse to keep the Earth at the center.