Can you have a FUE/partial shaven FUE to the crown?

We do have the operation unshaven here as well but in order to get the detailed answer we need to see the photos, also for the consultation progress..

 If the crown area will be implanted, there is no need to shave the recipient area completely. The crown area needs to be shaved as you have a curly hair. We recommend to avoid a concealer ( Topik) at least for 2 months. The number of the grafts is defined regarding to the baldness area and the level of the donor area.

I doubt anyone would perform a no shave FUE harvest on you if you have long curly hair but you could certainly do some consults to see.  Don't be surprised if you get to the surgery and it can't be performed even if it was promised to you.  Pics would be helpful to give you a complete answer though but you sound like you are the opposite of a good candidate for no shave FUE.  

FUE is a harvesting method where the donor area hairs need to be shaved, but the recipient area does not need to be shaved.Some doctors may want to shave it because it makes the surgery easier.Ask your doctor about Toppik use after surgery as each doctor may have their own recommendations.

With hair as long as you are describing, probably the best bet is to pin up the donor hair, and extract in the region underneath to give it camouflage. There is no need to clip the recipient area.

Thank you for your question and photos
the number of grafts a patient will need depends on the thickness of their hair and the extent of their hair loss, which can be determined by the Norwood Scale below.
During a hair transplant, grafts are usually removed from the ‘donor area’ located on the back of the scalp and relocated to a balding area. The back of the scalp makes a good extraction area due to the high volume of hair follicles that congregate within that region that are not affected by the balding process. Specialist surgeons will remove a small amount of tissue that can grow hair and relocate it to the desired area of the head without damaging them.

Hello,Sure it is possible to have no-shave hair transplantation with DHI technique. You can't use TOPPIK while recovery period. Photos will be better to examine the situation.

Instead of discussing the possibility of leaving the hair on crown long or not, I would like to stress the importance of the aftercare. I would recommend you to pay extra attention to the new implanted grafts throughout the first 10 days of post-op and make sure the existing native hairs do not disturb the new hair follicles and damage. It is not rare to see this happen. Some patients want to conceal the recipient region with native hairs and use products on and press on the scalp, which definitely won't help the new hairs.
A hair fibre can be used after 2 weeks.

Would 2000 Grafts be enough? Without seeing the picture, it is not really possible to comment.

Shaving the recipient area is often a choice. Some Doctor and patients prefer to shave especially if other areas of the scalp need to be shaved. Some because it is easier to clean and keep hygienic during the immediate post-op healing. That said many times it is totally a choice. The donor area is shaved to map out the safe zone for dht immune hair follicles and minimize taking miniaturized hairs and over harvesting. 

Hello and thank you for your question. There is absolutely no reason you would need to shave the recipient site.