No, because it was necessary to have the Constitution include FEDERAL POWERS, and the “right to bear arms” was considered a state issue at the time, because it was to keep the federal government in check.
Also, it was NOT originally the Second Amendment, it was the Fourth, but the first two original amendments were voted down.
Original First Amendment:
After the first enumeration required by the first article of the Constitution, there shall be one Representative for every thirty thousand, until the number shall amount to one hundred, after which the proportion shall be so regulated by Congress, that there shall be not less than one hundred Representatives, nor less than one Representative for every forty thousand persons, until the number of Representatives shall amount to two hundred; after which the proportion shall be so regulated by Congress, that there shall not be less than two hundred Representatives, nor more than one Representative for every fifty thousand persons.
(There would be over 6,000 Representatives today, which shows how the Framers had no idea what America would become.)
Original Second Amendment:
No law, varying the compensation for the services of the Senators and Representatives, shall take effect, until an election of Representatives shall have intervened.
Though not ratified at the time, the original second amendment finally made its way into the Constitution in 1992, ratified as the 27th Amendment, a full 203 years after it was first proposed.
So, now, when people tell you Freedom of Speech and Guns were SO fundamental to American life they were the First and Second Amendments, you can tell them how their 21st Century prejudices have colored their vision! Rather, like 21st century politicians, they were primarily concerned with JOBS (how many of them there were) and PAY (when they would get a raise)!
However, all joking aside, the Constitution was hard work and there were significant compromises made, to the point that some famous people refused to sign it BECAUSE the Bill of Rights was not part of it, while others ONLY agreed to sign it with the understanding a Bill of Rights would be added after further deliberations.
It was a messy political fight to codify and legitimize a new world, a new society, and a new way of living without the King owning you, your land, or your labor...and Americans would fight for that principle again, if necessary, even if it was their own new country that tried to assert such power.
Freedom was a VERY BIG DEAL when America was born, and that word is still synonymous with America, even though many things have changed since then.