Nope. I have seen a '62 in person. The '62 has a rounded lid handle. This one is squared. Also, the '62 lid handle attachment point is rounded. Again, this one is squared. The big difference: "62 has three bowl exhausts and vents. This smokey only has one.
@harris92 That's a beauty. Do you have the box/model #?
Looks like the same one as pictured in the 1962 catalog....