Yes, real Christmas trees can catch fire if they are not properly cared for. Christmas trees can ignite if they are not watered properly, and if decorations and lights are not placed safely. It's important to keep the tree well watered and to check the lights and decorations regularly to ensure they are not damaged or overheating. Additionally, it's a good idea to keep the tree away from heat sources and open flames. If you take proper precautions and follow safety guidelines, you can enjoy your Christmas tree without worry.