Is there any way i can check history on a computer if they were searching the net while incognito?

the concept of incognito and private browsing is that you can browse on the net without anyone knowing what you are doing so there is no record of sites visited on the pc used, however, the ISP can still have records of sites you visit and if you connect to the internet through another computer, you can get programs for that computer to monitor the sites that are being visited.