what kind of skin condition on hands would cause a person to lose fingernails as well
There are a number of conditions that can cause loss of fingernails. Some are common such as a fungal or bacterial infection of the nails themselves.
More rarely this can be caused by an internal viral or Strep infection or a severe reaction to a medication like Stevens-Johnson Syndrome or toxic epidermal necrolysis.
If we are talking about an individal fingernail, trauma can also cause loss of the fingernail.