Yes, you can add a picture to your question when you're creating your own topic. If you want to include a picture with your question you simply click the 'add photo' button on the left, beneath your question. (see image)
Please be aware:
Looking up images for your topic can be a good idea but be aware there are different types of copyright related to each image and you should not upload any images against copyright holders' wishes. When you are looking up pictures we recommend entering “Public domain image resources” and you will find many useful sites where you can browse through images and find ones that are perfect for your topic. Have fun!
Note: Images for My QuizUp topics should ideally be at least 960x710 pixels, so if your picture is blurry it means that it is too small. The size restrictions are due to the way they are presented on screens on different devices.