try this VB code in invoke code activity :
Dim chromeHistoryPath As String = "C:\Users\" & WRITE UR Environment UserName HERE & "\AppData\Local\Google\Chrome\User Data\Default\"
Dim filesToDelete As String() = {"History"}
For Each fileName As String In filesToDelete
Dim filePath As String = Path.Combine(chromeHistoryPath, fileName)
If File.Exists(filePath) Then
File.Delete(filePath)
End If
I also suggest that you send hot key (Ctrl+Shft+Del) and send hotkey (Enter) while the browser window is open.This will directly clear the browser history