is it possible for hair removal and re transplantation in a different pattern? (Photo)

What you ask can be technically possible, but it probably will not give you a good result.Another option would be to just add more hair (hair transplant) on one of the whorls to over power it and hide the center thinning.  Another option would be Scalp MicroPigmentation to hide the thinning on both whorls.Another option would be a combination of the above.This is assuming if you don't have genetic balding and your main goal is to hide the whorl.

The answer is that you definitely can remove the follicular units using FUE.  The problem is that there is a natural pattern of hair growth on your scalp.  It might be difficult to match up this pattern after you remove the follicular units that are currently on your  crown.  I would encourage you to avoid this.  Your pattern is quite natural right now.  You may wind up with something that just does not work for your scalp.  We remove follicular units all the time when they were placed improperly.  However, we can always match up with the remaining follicular units.  Doing what you want to do may not result in a natural appearance and it might be much thinner than you might like.  I would just forget about this idea because it will be a complicated process and quite costly.  

The problem is that the distribution of your hair does not provide for good donor access. When doing hair transplantion, the hair in the back of the head is accessible donor hair.

It is a great question - but unfortunately not possible with current surgical techniques and technology. At present hair transplants are only for moving hair into thinning or balding areas not for changing the pattern of growth of existing hair. 

I would not do a hair transplant into the swirls and removing them is not a good idea as what I see is very dense. You could add scalp micropigmentation to manage this process as we have done many times for crown problems, See web reference below

This type of crown feature is more common than you thinks if your doctor has experience they should know how o design the crown during transplant to make sure it follows both whirl patterns.  You can start a medical regiment routine first to see if that works for you and then consider transplant as an option later on.