Yes. Many individuals will set up a short term disability policy as well as a long-term disability policy to cover different types of scenarios (e.g. if you become permanently disabled vs. being temporarily disabled).
Some individuals will have a group DI policy through an employer and supplement it with an individual DI policy if they feel the group DI doesn’t provide enough benefits or a very good “definition of disability” (the most important factor with DI coverage) – when buying disability insurance, make sure of (and understand) the definition of disability that’s being cited in the program (own occupation, modified, or gainful – this is the most important factor in your disability policy as it will determine if you are eligible for a claim when something happens).
Please note, disability insurance policies coordinate benefits so there’s a limit to how much coverage and what kind you can secure (most carriers will keep it to a maximum of 70% of income – the percentage can vary by insurance company).
I hope the information is helpful – please feel free to contact me for help setting up coverage and if you have any other questions. Thanks very much.