"There is no bathroom in my house."
Yes, along with commonly understood possessives, such as, 我妈妈, 我哥哥, 我们老师, etc. The safest option is to rely on the context. This is especially true in colloquial speech (非正式的说法).
For example, you wouldn't want the modifying De5 to change the meaning from "Our teacher" to "We teachers".