Elected civilian control of any professional military was an extremely important part of the republican polity imagined by the framers. In their mind, professional militaries were more akin to mercenaries than patriotic defenders and would happily topple the government if paid or led by the right personality. So, if you are asking whether they considered professional military experience as a requirement for the presidency, the answer is no.

However, they did expect that every president would have military experience in the form of militia service. In classical republican theory, a state mandated and controlled militia of local males with ties to their communities was essential to defending the polity while avoiding the threats of despotism posed by professional armies. One of the earliest laws passed in the new nation established federal guidelines for the militia and the second amendment was intended to assure the states that the federal government could not prevent the arming and training of state sanctioned and controlled militias.