Psi attacks are real in a way but not easy to do and never done for fun (Unless you are in it for the fun and kinda for evil) but me loving Anime for years can say its not like either shows (Mainly because No one from either Anime uses Psi)
Use this to learn its a bit long but some parts are important to learning the other parts so read it all if you find the time http://www.spellsofmagic.com/read_post.html?post=404858
if you mean psi attacks like spirit bomb or something, no. you can practice and make a psi ball, but it takes a lot of practice, concentration, and energy. also, you could learn to drain a persons energy like a psi vampire, but again, it takes a lot of practice.