Is it possible that human can built under the poles a controlled system to create again artificial icebergs? In order keep tight the melting ice and reduce the sea level? Can this system impact the quality of life and climate?
It depends on which pole. The south pole is in the middle of Antarctica, with mean temperatures of -57°C, liquid water doesn't exist there and the air is extremely dry. Therefore, I would say that it is not possible to create more ice due to the lack of liquid water. And if there were any liquid water it would freeze naturally. This will make sense if we have a look at the antarctic geography. This map will help
[image from geology.com]
One possible action following your line of thought, would be to bring liquid water to the south pole from the coast and let it freeze there. However, the more than 500 km that separates the South pole to the nearest ocean shore (that is actually under hundreds of meters of ice) or 1,300 km to open water, makes this idea very impractical. A similar approach but more efficient would be to pump water from the coast to a nearby antarctic basin, and that would indeed help reducing sea level. This idea have been proposed by scientists. However, to make this effect significant you would need to pump incredible amounts of water, something that makes this geoengineering idea very costly and not very appealing.
Other scientist have proposed that dumping piles of rock in the ocean floor at specific points could be the most cost-effective way to slowdown sea level rise. The idea is to redirect warm ocean currents away from glaciers, something that could significantly reduce the rate at which they are melting down. This approach would have a much lower (but still very high) cost.
This paper explain this idea and the following figure summarizes it:
The North pole in contrast is just in the middle of the Arctic ocean. You could indeed take ocean water there and turn it into icebergs. However, as others have said in the comments, using any kind of cooling system would produce a lot of heat so it would not be a good idea. But you can just enhance the heat transfer with the atmosphere as ski resorts do to make artificial snow. Their approach is to wait for a cold day and spray water into the air. If it is cold enough, the water droplets will turn into ice before falling back to the ground.
However, even if you succeed in making icebergs, that would not make any change in sea level, because they are floating. It would be equivalent of melting of ice cubes in a glass, something that doesn't change the level of the liquid in the glass. Here a graphical example of that
Nevertheless, your feat of engineering would have a positive effect in slowing global warming by covering the ocean with a layer of highly reflective ice. That ice would reflect back to space a lot of sunlight that would have been absorbed by the ocean otherwise. However, when you freeze sea water, most of the salt is expelled, so you would also put a lot of salt into the water, that would make sea water more dense and it would sink. That could have a undesired effect on ocean circulation, so you have to be very careful in studying the side effects of such approach.
Similar to the antarctic approach. You might get better results if you pump water from the Arctic ocean and let it freeze on top of a desolate arctic island. However, it still doesn't seem to be the most cost effective approach.
Said that, there is a long list of geoengineering ideas to battle against climate change and sea level rise. However, the most cost-effective way to slowdown sea level rise, is to reduce the rate at which we are consuming stuff. So just buy less and reduce/repair more. Also very important is reducing the use of fossil fuels (something that would also be a side effect of consuming less). Having less children or adopting instead of having your own is also a way to make big contributions to slow down sea level rise.