You can unless one or more of the following apply:
1) You're not wealthy (running M4A3 Sherman tanks start around $175,000).
2) You live in a non-free location where state law precludes it.
3) You are not allowed to own firearms because you're a felon, mentally defective, illegal drug user, or fall into another category of prohibited persons.
4) You're unwilling to pay the $200 transfer tax and comply with the registration requirements that go with the canon which is classified as a "destructive device" under the National Firearms Act of 1934.
5)All the local Chief Law Enforcement Officers who can approve the transfer are bed-wetting liberals and you won't create a NFA gun trust.
I think it is perfectly reasonable for everyone to have a flame thrower in case they need to rock and roll to get into work, or a tyrannical government tries to increase taxes on trillionaires that they need to overthrow.
Wow, Scalia must think the founding fathers knew about flame throwers and hand held missiles! No, Judge, they only had single shooting muskets.
Scalia is caught in the trap of his own twisted logic, that the constitution is static.
The God given right for American Citizens to arm themselves to the same level as the Government, or better than the government, is EXACTLY what a musket weapon and cannon were in "those days".
There is no reason to limit the personal ownership of any type of tool, or weapon, by any legally qualified American Citizen. The laws against such ownership do not apply to law breakers. Having sane American Citizens armed with whatever tool or weapon they can muster is ok with me. We have laws against theft and murder, so no need to limit the good guys access to tools that help to stop such activity.