Yes eating too much sauerkraut can make you have diarrhea.
It has happened to me when I ate too much sauerkraut I got diarrhea so it is possible.
But if you eat the sauerkraut in normal amounts or eat the sauerkraut in moderation you should not get diarrhea unless your stomach does not like the sauerkraut.
Some peoples stomachs don't like the sauerkraut so they get bloating and diarrhea after eating sauerkraut and if so then you may just have to cease eating sauerkraut or eat less of it.
It took me a week to get diarrhea after eating sauerkraut daily and then I had bloating and stomach pain and then came the diarrhea.