There are a few bikes that have been designed with both a drop bar and mountain bike frame, but they are not common. The main reasons for this are that a drop bar typically means road bike geometry, which is not ideal for off-road riding, and that mountain bikes already have wide handlebars for better control. That said, if you are looking for a bike to do some light touring on paved roads and trails, one of these hybrids might be a good option.