Not for diesel powered ships.
And yet we don't have aircraft carriers that are majorly, let alone fully powered by diesel engines.
As a matter of fact, there are no diesel engines that can rival gas turbine engines (and steam turbine engines as well) in terms of power-to-weight ratio and operational flexibility. Both factors are absolutely important factors for warships with volume and displacement constrains.
This hasn't yet include all the other additional considerations for proper major warships:
- Reduced vulnerability to battle damage (allowing more compartmentalization and greater degree of damage control capabilities)
- Better weight distribution and stability (which is crucial for aggressive maneuvering at higher speeds during combat scenarios)
- Better noise isolation (important for ASW-focused warships e.g. DDGs and FFGs)
- Hull form optimizations (propulsion systems are bulky, and major warships need finer-designed hulls for greater speed and maneuverability)
etc.
In fact, in contrast to commercial/civilian-grade/operated ships - No major proper warships have their propulsion and power generation systems placed anywhere besides amidships.