Not as such, no...but you can purchase a Springfield Armory M1A, which is essentially a semi-auto M14.
There might be a few full auto M14s floating about, but they'd probably go for something in excess of $20K at a guess.
Semi would be fine with me.. Such great weapons for their time (and still can be.).. and semi is the ONLY way to go for accuracy.
And anyone that has fired a M14 on full auto can attest that it is not a heck of a lot of fun and just about impossible to hit anything. The cost of the ammo you just wasted has to hurt as well
If there was an upside to the M16, it was that it could be controlled on full auto.
BTW, Welcome to FreeRepublic ;)