Short answer: such “all-in-one” systems exist in the form of multi-process mill-turn CNC machines, but they are uncommon in labs because they’re complex to set up, costly to purchase and maintain, and slower to reconfigure for frequent geometry changes. Flat specimens are normally profiled by milling a dog-bone from sheet/plate, while round tensile bars are formed by turning on a lathe—two different processes, fixturing styles, and toolpaths.
In practice, most laboratories choose two dedicated machines: a flat-specimen milling system and a round-specimen lathe, which is why vendors present separate equipment lineups for flat vs. round preparation.