What's the best way to get rid of phobias(especially hypochondriasis) and anxiety? is it possible without antidepressants?

Yes: Cognitive Behavioral Therapy is a good way to deal with phobias.

Often - can be Rx'ed: without meds. Consider Cognitive Behavioral Therapy, Behavior Therapy, Psychotherapy, Exposure therapy (imaginal exposure therapy, systematic desensitization, flooding, prolonged exposure therapy, in vivo exposure therapy) or hypnosis as possible options. Psychotropic medications are sometimes indicated as well.