Thank you for your query,
The detachment of nails and the peeling of finger tips skin is not due to the effect of fall.
The detachment of finger and toenails is called onycholysis and it is due to chronic exposure to moisture, psoriasis, fungal infection
, contact dermatitis
, porphyria and due to some drugs.
The fitness for surgery will be decided by your Pediatrician
and orthopedic surgeon by examining your child and doing relevant investigations.
Consult your Pediatrician or Dermatologist
to evaluate for the causes of this condition and its management.
Hope i have answered your query.