Unlikely. However, it is definitely a military style watch. True military watches tend to have identification numbers engraved on the case back.
It's a pre-war aviator's watch of a type known as "1928 German Air Force Pattern" and you can find this same case (some slightly different) with a large number of different innards; Doxa, Omega, Helvetia, Zenith and others made them as well. Always fixed lugs, black dial and heavy on the radium. There is some doubt as to the military use of these, but if it was used by the Germans prior to WWII, it would make sense that it wasn't marked as they weren't allowed any Air Force at that time. Link. The crown on yours - and the three above certainly also - has been replaced. I guess there is no way of knowing if it has been used by a military unit, a commercial/private pilot or just by someone liking the style.
This style of watch is also known as a "Flieger." @myk11 11 - Do you have any pictures of the movement or inside case back? Mine says hello!
I'd like to share my latest find with you and hope someone recognizes the movement. It also is a Tissot Flieger, but in big size 44mm and with a pocket watch movement. Does someone has seen a similar one in this size? Usally they are just 40mm. Next Step is to find matching hands, crown and maybe crystal. Thanks Nico