@malhaj88 You can clear the chrome app data with
adb shell pm clear packageName
Appium has the ability to execute adb command, you can run as below as part of the setup or just before you are going to perform the action which leads to the chrome.
driver.execute_script('mobile: shell', {'command': 'shell pm clear', 'args':'packageName'})
Keep in mind that once you clear the application cache from Chrome you will have to go through the on-boarding flow.