It is typical for geotech reports advising to ignore top 3' or a full pier diameter for soil skin friction capacity and such. But if you want to reinforce that drilled pier with a cap, you can place it within that 3' depth, as long as you can place it on soil with adequate bearing capacity. However, you can not rely on the soil skin friction in the upper 3'. It will work in a similar manner for the uplift capacity, where you can rely on the weight of concrete and any concrete-soil interaction below 3'. I have reinforce lots of drilled piers this way. Make sure you provide adequate shear reinforcement between the existing pier and the new cap.