Can lesser known antidepressants (not those widely advertised) be prescribed?

Absolutely!: You have every right to ask what and why a specific drug is being recommended. This goes for every medicine, not just antidepressants. Take charge, and if you want a different med for whatever reason, certainly bring it up in discussion with your doc. Openly discus your concerns, fears, general questions and why you want to know what you want to know. Only then can we maximally partner with you!

Yes: if medically indicated and if available.