Are there some non-hormonal meds that have a probability of producing gynecomastia?

Yes. Drugs are responsible for 10-25 of male breast enlargement. H2 blockers like Cimetidine and omeprazole, calcium channel blockers and spirinonolactone have all been associated with gynecomastia.
Yes. There are a large number of non hormonal medicines that can cause gynecomastia. Some chemotherapeutic agents, antihypertensive meds, anti anxiety and anti seizure meds among a host of others can cause gynecomastia. Don't forget marijuana use. Go online if you are unsure and research your medicines and conditions to see if they contribute.
Lots. Anything that can throw the body's hormonal balance out of whack can potentially have gynecomastia as a side effect.
Yes . Although there may be many “causes”, most cases of gynecomastia are idiopathic (no specific cause). The use of certain medications, drugs, organ dysfunction (kidney or liver), hormonal imbalances etc. May also be causative. Gynecomastia is often best treated with  partial excision of the prominent glandular tissue  as well as liposuction surgery of the peripheral chest area.