Does eDocBuilder support using Code 39 barcodes?

Yes. Code 39 is sometimes referred to as Code 3 of 9, as in the eDocBuilder documentation. Sometimes also referred to as Alpha39, Code 3 of 9, Code 3/9, Type 39, USS Code 39, or USD-3. For more information please see the article about enabling barcodes on the Data Capture settings for fields in an eDocBuilder template.