The answer is no. If the Bible is read literally, there is no better cosmological explanation than a geocentric Universe.
The reason is fairly clear:
- The Earth is already there when God starts to create:
When God began to create the heavens and the earth, the earth was complete chaos, and darkness covered the face of the deep, while a wind from God swept over the face of the waters.
- Night and Day are created prior to the Sun
Then God said, “Let there be light,” and there was light. And God saw that the light was good, and God separated the light from the darkness. God called the light Day, and the darkness he called Night. And there was evening and there was morning, the first day.
- The Sky was created after the Earth
... God made the dome and separated the waters that were under the dome from the waters that were above the dome. And it was so. 8 God called the dome Sky. And there was evening and there was morning, the second day.
- God bringbrings forth vegetation, but there is still no Sun.
Then God said, “Let the earth put forth vegetation: plants yielding seed and fruit trees of every kind on earth that bear fruit with the seed in it.” And it was so. The earth brought forth vegetation: plants yielding seed of every kind and trees of every kind bearing fruit with the seed in it. And God saw that it was good. And there was evening and there was morning, the third day.
- Finally, on the fourth Day, God sets in place the Sun, the Moon and the stars.
And God said, “Let there be lights in the dome of the sky to separate the day from the night, and let them be for signs and for seasons and for days and years, 15 and and let them be lights in the dome of the sky to give light upon the earth.” And it was so. God made the two great lights—the greater light to rule the day and the lesser light to rule the night—and the stars. God set them in the dome of the sky to give light upon the earth, to rule over the day and over the night, and to separate the light from the darkness. And God saw that it was good. And there was evening and there was morning, the fourth day.
The fact that this account presents Sun and other celestial lights being placed in the Sky long after the Earth exists makes a geo-centric universe the only logical choice if one reads the text literally. It may be possible to justify the account on the grounds that the Earth was once covered with clouds, and so the Sun only appeared on the "fourth day." But the text literally says that God placed the Sun in the Sky at that time, not that it appeared from behind the cloud cover.
Thus, a geocentric universe is the best explanation for a literal reading of Genesis 1.