One of the factors that influence depth-of-field is focal length. To get the same field-of-view with a small sensor / film area, the focal length needs to be sm

One of the factors that influence depth-of-field is focal length. To get the same field-of-view with a small sensor / film area, the focal length needs to be smaller too, and hence the depth-of-field will be larger. So yes, practically speaking, a camera with a much larger sensor / film area does allow you to take pictures with a much more narrow depth-of-field.