No plant can grow on the polar icecaps as it is made of ice and has no soil, not to mention the extreme cold.
ice
Vegetation on ice caps is limited and consists mainly of mosses, lichens, and algae that can withstand extreme cold temperatures and sparse nutrients. These plants are adapted to grow in harsh environments with short growing seasons. Additionally, some hardy grasses and sedges may grow on the edges of ice caps where conditions are slightly milder.
There are very few plants in mountains and ice caps, including moss, wild potatoes, and other types of grass.
Of course they do grow on ice
The polar ice caps on terrestrial planets, such as Earth and Mars, shrink and grow with the seasons due to changes in temperature and sunlight exposure. These changes cause ice to melt and accumulate, affecting the size of the ice caps throughout the year.
No plants, but animals, yes: you will find much more marine life beneath these ice-caps than above them. Seals, walruses and polar bears (Arctic) and penguins (Antarctic) are found above these polar ice caps.
it is too cold for crops to grow
Of course they do grow on ice
Mars is the planet with ice caps that change in size with the seasons. These polar ice caps are composed of water and carbon dioxide ice. They grow during the Martian winter and shrink during the Martian summer.
Mars has polar ice caps that change in size with the seasons. The polar ice caps on Mars are predominantly made of water ice and carbon dioxide ice (dry ice) and they grow and recede with the planet's changing seasons.
none the climate is way to cold for plants to survive the cold weather
grow page 17 huh, deserts