Sure, it is perfectly possible. But bear in mind that to make things easier and more effective, you should choose two languages that are completely different from one another, for example a Germanic language and a Romance language. If you learn two Romance languages at once, you might end up mixing them at some point, because they share way too many similarities. So only after you have acquired a solid knowledge in a certain language you should start learning a second one of the same family, whereas, for example, learning Spanish and German from scratch at once should be fine. It does take a lot of motivation and discipline to get past the waystage and become an independent user though. But it is indeed possible and a lot of people have done it. Best of luck with your studies!