Not out of it, that would require both sides of the sea to be exactly the same height, now one river could flow into it on the east and one out the west but not two out on opposite sides. it's okay it's a common thing people attempt to do even though it's nigh impossible and incredibly unrealistic.
Also A sea is not the only lowest point of the land as a out flowing river could be formed from a gorge connected to the sea, after all let's say the sea is a filled up box canyon with very low slopes then a few parts of it continue on like a river canyon except it's not a canyon because the slopes are not sheer drops but gradual descents, but I think you probably still get the idea the point is is that you cant have two rivers outflowing in opposite directions, just like you can't make a river fork into the ocean making a large island right next to the coast, then all of that fork would lose water flow and become ocean, I think a perfect example of this is the Nile where it forks quite a bit but both halves always return to each other before entering the Mediterranean, making a river island.
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