This clinical trial is studying advanced or metastatic solid tumors. Once a solid tumor has grown very large in one spot or has spread to other places in the body, it is called advanced or metastatic cancer. Participants in this study must have head and neck cancer, non-small cell lung cancer, endometrial cancer, or ovarian cancer. In the first part of the study, participants must have tumors that have a marker called HER2. This clinical trial uses an experimental drug called disitamab vedotin (DV). DV is a type of antibody-drug conjugate or ADC. ADCs are designed to stick to cancer cells and kill them. In this study, all participants will get DV once every 2 weeks. This study is being done to see if DV works to treat different types of solid tumors that express HER2. It will also test how safe the drug is for participants. This trial will also study what side effects happen when participants get the drug. A side effect is anything a drug does to your body besides treating the disease.