There have been several proposals for establishing a self-sustaining human settlement on Mars, but it is not currently possible to do so. The challenges of establishing a colony on Mars are significant, and include the need to provide for all the basic needs of the colonists, such as food, water, shelter, and oxygen.
Mars has a very thin atmosphere and no protective magnetic field, which makes it vulnerable to solar radiation and cosmic rays. This means that any settlement on Mars would need to have a reliable way to protect its inhabitants from these harmful effects.
Additionally, Mars has a much colder and drier climate than Earth, and there are no known bodies of liquid water on the surface. This means that any settlement would need to have a reliable source of water and a way to produce oxygen, as well as a way to protect against extreme temperature fluctuations.
Despite these challenges, there is ongoing research and development into technologies that could be used to support a human settlement on Mars. For example, scientists are working on developing methods for extracting water and other resources from the Martian surface, as well as developing greenhouses and other systems that could support plant growth on Mars. However, these technologies are still in the early stages of development and it will likely be many years before a self-sustaining colony on Mars is possible.
It is possible if we are able to: