Generally speaking, most moving companies will offer some level of financial responsibility for your belongings during the move. This may be referred to as "valuation" or "liability coverage." However, the amount of coverage may vary depending on the company and the type of service you're using (e.g. full-service moving, self-service moving, etc.).
Additionally, it's important to note that there may be certain conditions or exclusions that could impact the company's financial responsibility for your belongings.