Haven't tried it but the following might work for you if you don't mind playing with the registry.
Open regedit.exe
Create the subkey
HKLM\SOFTWARE\Microsoft\Windows NT\CurrentVersion\Image File Execution Options\chrome.exe
(You may need to first create the subkey: Image File Execution Options)
Then create a new REG_SZ (Edit, New, String value) and name it: Debugger
give it a value of "C:\Program Files (x86)\Google\Chrome\Application\chrome.exe -incognito"
(Include the quotes!) This should be the full path to your chrome.exe but check just to make sure.
This is a technique used by some malware so some anti-viruses may object.
Alternatively
If you copy the next line:
reg add "HKLM\SOFTWARE\Microsoft\Windows NT\CurrentVersion\Image File Execution Options\chrome.exe" /v Debugger /t REG_SZ /d "C:\Program Files (x86)\Google\Chrome\Application\chrome.exe -incognito"
then open an elevated command prompt, right click and Paste then hit Enter it should make the registry change for you.
If it doesn't work for you then:
reg delete "HKLM\SOFTWARE\Microsoft\Windows NT\CurrentVersion\Image File Execution Options\chrome.exe"
will remove it and put it back the way it was.
Let me know if it worked for you.