Yes, but not in the usual “stacking to reduce DOF” sense. A focus stack can be used to estimate a depth map, then software can selectively blur parts of the image to simulate shallower depth of field. That’s essentially a computational blur effect rather than optical shallow DOF.

A different practical technique is the Brenizer method (also called a bokeh panorama): shoot multiple overlapping images with a fast lens and stitch them. This can produce a wider field of view with the shallow-depth-of-field look associated with larger formats.

Simply taking several frames at different focus distances and combining them is not likely to reduce depth of field by much on its own. In many cases, if your lens wide open still doesn’t give enough blur, the more direct solution is a faster lens, or using tools like low ISO / an ND filter so you can keep the aperture wide open in bright light.

You can also manually combine a sharply focused subject with a more blurred frame using masks, but results depend heavily on editing skill and may look like “fake bokeh” if done poorly.