Yes they can be grown out of water.
Put the plant in a large plastic storage container or bucket and have it covered with water.
Add some plant fertiliser to help it grow.
Let the water evaporate naturally. As the water level drops, the plant's leaves will come out of water and the plant will produce new terrestrial leaves.
When the plant is completely out of water, you can plant it in some potting mix or leave it attached to driftwood and spray it with a liquid fertiliser each week and fresh water every day. If you plant it in potting mix, only bury the roots and leave the rhizome on the surface of the soil.
You can use this method for virtually any aquarium plant including Ambulia, Bacopa, Hyrophila sp, Ludwigia sp, sword plants, etc. Have them in a container of water and let it evaporate naturally. As the water level drops the plants produce new leaves that function in the air.