Per michael it may be a permission issue. Try this:
Step 1: Go to c:\Program Files\Neo4j Desktop.
Step 2: Right click on Neo4j Desktop, select properties
Step 3: Select 'Security' tab. On that select USERS
Step 4: Click on Edit button and select USERS
Step 5: In the Permission check the Allow Full Control box
Step 6: Click on Apply button at the bottom.
Finally, starts the Neo4j Desktop application.