Avel1896 is an advocate of plant or silent cycling. This is a popular method among those who have heavily planted tanks, but in this case with just Java fern and anubias, I don't think a silent cycle is possible as they are very slow growing plants.
@Rocky998 I would get the plants after the cycle finishes rather than subject them to large doses of ammonia. Many plants don't like having 3 ppm ammonia put in the tank in one single dose. When there are fish in the tank, the same amount of ammonia is made by the fish every 24 hours but in tiny amounts every minute of the day rather than all in one dose.