No: the remaining nail acts as a protective splint for the underlying nail bed and holds the nail fold open, which may take 60-170 days.
Use a digital block followed by copious betadine/water and soak the hand. Explore the margins, find the intact nail fold and reapproximate the nail. You may also need to explore a bit to find the nail fold. You may need an assistant to hold back the lateral fold to “cantilever” it in.
Your call in regards to using mattress stitches to hold in place vs tape vs glue vs splint