They certainly could, of course there are those who argue that it wasn't one day but it was eons or whatever, which makes the survive without photosynthesis for 12 hours.
But again, going by what we know about Plants, it would make more sense for the Sun to be produced first than the Plants.
The light before the Sun part, the thing is that the light seemed to have been a creation of God as the verse says "let there be light and God saw the light and that it was good" and "God separated the light from the darkness and called the light day and the darkness night"
So this first light would have been the source for plants...but verse 14...is where it gets weird, cause now the lights are beign created in the sky.