Takeoff would be more likely to be possible but still probably very difficult.
I found some stats and an A-4 with minimal stores, on a carrier going full speed into a 30 knot head wind would only need to accelerate to about 70 knots relative to the ship. I think that would be possible with the full run of the deck.
The problem with landing is that minimum speeds are generally at least 20% faster than takeoff, and I believe that breaking is not going to give you the same deceleration rate as the engines would for acceleration.
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