Can I switch my moderate plus profile implants for high profile implants?

You can have your implants switched but I do not know if the high profile will give you the results you want.  No surgeon can accurately determine the tissue's response to implants.Earl Stephenson, Jr, MD, DDS, FACS

There may be some modest aesthetic improvement in your situation with a high profile over a moderate plus profile. However if you have soft breasts that are otherwise aesthetically a good result my advice to you is to leave them alone.

but you should make sure your surgeon is confident it will provide you the result you desire.  Without photos, its difficult to comment but if you take your concerns to your surgeon, you will be given options on how you could achieve your goals.  Side boob comes from a lot of things and if your pocket is too large, it will have to be addressed at your procedure as well.

You asked for two things less side boob and upper pole fullness. Upper pole fullness has to do with the shape of the implant.  You may need anatomic implants to give that for you and also keeping a narrower implant on the chest.

Thank you for the question. Despite good intentions, online consultants will not be able to provide you with  meaningful specific advice.   You did not mention how far out of surgery you are, but it may be in your best interest to wait until you are at least 6 months out of breast augmentation surgery to evaluate the outcome of the procedure performed. Then, if you remain displeased with the outcome, careful evaluation of your situation and goals will be necessary to provide you with precise enough advice. You will need to show your plastic surgeon what you are trying to achieve. In my practice I would like to see ( in front of a full-length mirror and/or with the help of goal photographs) what you mean by more “upper pole fullness and no side boob”.  Careful measurements, dimensional planning, and careful communication will be key.
Generally speaking, the best online advice I can give to ladies who are considering  revisionary breast augmentation surgery ( regarding breast implant size/profile selection) is:1. Concentrate on choosing your plastic surgeon carefully.  Concentrate on appropriate training, certification, and the ability of the plastic surgeon to achieve the results you're looking for. Ask to see lots of examples of his/her work.
2. Have a full discussion and communication regarding your desired goals  with your plastic surgeon. This communication will be critical in determining which operation and/or breast implant size/type/profile will most likely help achieve your goals.
In my practice, the use of photographs of “goal” pictures (and breasts that are too big or too small) is very helpful. I have found that the use of words such as “natural” or "C or D cup" etc means different things to different people and therefore prove unhelpful.
 Also, as you know, cup size varies depending on who makes the bra; therefore, discussing desired cup  size may also be inaccurate.
3.  Once you feel you have communicated your goals clearly,  allow your plastic surgeon to use his/her years of experience/judgment to choose the breast implant size/profile that will best meet your goals.  Again, in my practice, this decision is usually made during surgery.
I hope this, and the attached link (dedicated to revisionary breast surgery concerns), helps.