What you are talking about is the Magnus effect for that "lift". In short no the bullet will not lift due to this force. As the bullet is spinning perpendicularly to it's advance all forces are balanced. When a ball spins (back spin) and gets lift this is because it helps the air above move faster (low pressure) and slows the air below it down ( high pressure).
But as I said the bullet is spinning perpendicularly to the on coming wind so will not observe this effect. If there is a strong side wind though this will make the bullet rise/drop dependent on wind direction and spin (left/right) of the barrel.
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