They are not the same and should be done by different people.
An appraisal is usually an estimate of the market value based on the recent comparable area sales, adjacent properties, the size of the home and the apparent condition exclusive of the details.
A home inspection is a visual inspection and report to provide information (not value) of the home with attention to the major systems (structure, roof, electrical, plumbing and HVAC), estimated life and general replacement cost in the future. It also points out the time-critical items that should be address by a professional familiar with the problems.
One is a financial estimate and the other is a physical summary.