You can achieve all your goals. Anyone with two normal, healthy vocal chords can become a singer. (Most people don’t become singers because they don’t have this incredibly open personality structure.)
Disclaimer: If you take an entrance examination at a conservatory, you must already have a lot of stage experience, be able to play other instruments and give whole concerts. The study can last up to 8 years. Even after that, there are singers who can’t finish after their graduation because their voice must still mature. So, it’s a very hard and long road.
However, very few actually want to become a singer. You can make progress after one hour. If, for example, you want to perform a beautiful piece in front of friends so that everyone is enthusiastic and enjoys the performance, then you can be sure that a good singing teacher can bring you to your goal, even if you only practice singing as a hobby.