Yes, it was called the M&P Airweight. Until 1954 S&W made some with aluminum cylinders instead of steel ones. After 1954 they made no more with aluminum cylinders. This also applies to the smaller J frame Chiefs Special Airweights. The gun you asked about would look the same as this one except for a steel cylinder. The cylinder yoke and barrel were always steel.
Here's some pictures of one I had that lettered sold in 1954 according to Roy Jinks. I never shot it due to the aluminum cylinder.
S&W didn't start using model numbers until 1957. If there's no model number stamped in the frame opposite the cylinder yoke, it's earlier than 1957.
If the gun is post WWII, it probably has an S or a C prefix before the serial number.
If the gun is a 2" snubby and it's a serial number before WWII, you have a rare gun.