Could my camera take this picture?

here is what i am wondering, could my Nikon D7100 take a pic like the one attached or would a faster more expensive model be required?
my brother is in the Navy and i may be able to be on board ship when they are on maneuvers
he may be able to pull some strings so i can fire some shots like this (fingers crossed) but i am wondering if the D7100 is good enough for a pic like this

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