No. In general a minifacelift does not include the neck, it generally addresses only the mid to lower face.
A minifacelift is very effective in correcting deeper nasolabial folds along with some jowling. Also, a minifacelift can help improve the cheek area of the face. To improve the neck, a full facelift(rhytidectomy)or just a necklift by itself would be needed.