Does yuengling brew a non-alcoholic beer?

No, but they brew light or reduced beer called "Yuengling Light".

Yuengling Light maintains a well-balanced character of malt and hops for a crisp, satisfying finish with only 3.80% ABV and just 98 calories per serving. Drawing from traditional brewing techniques, their Light Beer is brewed longer to reduce the sugar content and produce fewer calories. Its pale golden color is complemented by a light bodied flavor.

Here are the Brands Making Non-Alcoholic Beer compiled by Buzzle.com:

Bass Barbican Non-Alcoholic Malt Beverage

Kingsbury Non-Alcoholic Malt Beverage

Kaliber All Natural Non-Alcoholic Brew Light Malt Beverage

Moussy Non-Alcoholic Malt Beverage

Würzburger Hofbräu Non-Alcoholic Light Malt Beverage

Clausthaler Non-Alcoholic Herbfrisches Schankbier

Elan Swiss Brew Non-Alcoholic Malt Beverage

St. Pauli Non-Alcoholic Malt Beverage

Metbrau All Natural Draft Non-Alcoholic Malt Beverage

Saint Michael's Non-Alcoholic Malt Beverage

Also see some more brand names that fall under light and reduced beer categories at Buzzle.com.

Thursday, June 08 2017
Source: http://www.buzzle.com/articles/non-alcoholic-beer-brands.html