Yes and no, in a perfect world a fine thread pitch would give a higher clamping force than a coarse thread, but in real life 90% of your input torque is lost to friction, leaving only 10% of it to apply this clamping force, so the differences between coarse and fine threads become negligible. Of course the formulas Spy604 and I used are just approximations. The truth is that there are so many variables that can affect the outcome such as fine/coarse threads, oiled vs dry threads, a nick or dent in a thread, temperature, etc. that can affect the outcome. So say the 10% of additional force you gain by using a fine thread, is reduced by the only 10% of force actually being applied due to frictional losses, so it becomes 1% and at that point it is pretty much negligible considering all of the other variables that can have an effect. Hence, why I gave a range of potential clamping loads above rather than a single correct value.
So to answer your question, not really.