I can't see any reason why you cannot apply for PIP; I am assuming that you have back up from your medical team to support you and verify your claim.
You will need to follow the guides on here, fill in all the information you have, provide all the back up you can get, and go for it.
It isn't easy; but if you follow the guidelines provided and fill in all your details as fully as you possibly can, then there is every chance you might score enough points. You most certainly won't score any points if you don't apply!!
If you have sleep apnoea it means you literally stop breathing up to so many times a night, this is a life threatening illness and can leave you very foggy and very tired the next day, even with the use of a cpap machine. Don't ask you don't get.