Yes you can get it by leveling up
If you have an Abra, the best hypnosis Pokemon is alakazam. So catch an Abra, evole it to a kadabra, the evolve it to an alakazam to have the best hypnosis Pokemon
Most psychic types can learn hypnosis most normal types can learn rest. Here are some examples: Snorlax, Hypno, Alakazam, Noctowl.
Alakazam
Alakazam does not evolve
First You need an Abra Evolved into Kadabra. Then You need to Trade Kadabra to a person where it will evolve to Alakazam. Then that person MUST trade Alakazam back for you to have Alakazam in Pokedex.
Different types of hypnosis are stage hypnosis, covert hypnosis (for persuasion), self hypnosis, and hypnosis for specific issues such as weight loss or smoking cessation.
Trade Kadabra to get Alakazam, and Haunter to get Gengar.
Alakazam doesn't evolve.
Kadabra evolved into Alakazam when it was traded.
kadabra evolves into alakazam when he is traded.
Abra only evolves twice: into Kadabra and Alakazam. Alakazam does not evolve, as it is the final form of Abra.
The duration of Alakazam the Great is 1.47 hours.