Is there anyway possible that you could have discharge from penis and not have a std?

Possible: but more likely an STD, so get checked.

Yes it is possible: Yes it is possible.There are other conditions beside STDs which can cause Urethral Discharge. Conditions like Phosphaturia,Chemical Urethritis,Non Gonococcal Urethritisetc.

Yes: Urethritis can be caused by bacteria, viruses, mechanical irritation, chemcical irritation and idiopathic. If this persists it is best to have it cultued and seen by a competant physician. Men can carry chlamydia with little to no symptoms. Check for lymph nodes in the groin..that would help to point to a bacterial or viral cause.