Varicocele can be treated without surgery?

No. Not all varicoceles need to be treated. Reasons to fix a varicocele would be symptoms (pain), infertility (common finding with infertile men), and adolescents with testicle atrophy. Treatment options include open surgical repair including microsurgical approach, laparoscopic varicocelectomy or percutaneous embolization typically performed by a radiologist.
Surgery best. Not all varicoceles need to be treated; however, those that do are best managed with a microsurgical varicocelectomy. This is a straightforward, outpatient procedure which has low risk and a short recovery time.