Most likely, yes. However, with certain basement waterproofing solutions, you can avoid this problem. Sump pumps are one solution designed to capture water in your basement and move it away from your home before it has time to clog your discharge line. Another example is grated floor pipes, which also capture water in your crawl space with the added benefit of filtering out large debris. Without any kind of drainage systems in your basement, your discharge line is certainly at risk for freezing over in the winter and causing a major leak below your home.