Yes, a person who has a history of falling is at risk to fall again.
Do not try to move the person. Have them lie still until you learn if they are hurt.
Is the person alert and able to talk to you?
Do they have pain they have not had before?
Are they unable to move the arm, leg or neck? Is there any bleeding?
See this lesson’s What to Do section for actions to take in case of a fall injury. Also, see our lesson on Moving Safely in the Home for tips on how to help a person fall more safely and how to help get the person up after a fall.