Is there any solution to deal with the overpopulation of our species at the same time protect the natural environment of ours? (other than finding a inhabitable planet?)
It's important to understand that this problem is a bit more nuanced.
Population growth in every species is exponential (as much as exponential growth can exist, in reality almost nothing is proven to grow infinitely, therefore at some point stops growing exponentially).
Check out this for a description of carrying capacity. In a lot of ways it shows that human population growth is not much different than any other species... but we do it on such a grand scale, and that is something to consider. https://en.wikipedia.org/wiki/Carrying_capacity#:~:text=The%20carrying%20capacity%20of%20an,water%2C%20and%20other%20resources%20available.
The biggest problem in the future may not be our exponential growth, but our increase in carrying capacity for our specific environment (which for humans is the entire Earth). The most significant cause of this is the Green Revolution (agricultural improvements, not environment). https://en.wikipedia.org/wiki/Green_Revolution
We certainly don't want to see that carrying capacity drop.
Measures to control human population that have been tried so far have been unpalatable and very unpopular. Everyone want's their own "tribe" to survive.
Wars and other significant conflicts caused millions of deaths & the world is still in a precarious situation. World War 2 resulted in the death of 75 million people. It had a particularly devastating effect on the population of Russia and its economy has suffered since. Deaths resulting from Stalin's purges and the Ukraine Famine added to the devastating result.