My daughter was ask to testify as a witness in a case can she refuse to testify if she don't want to be apart of the case

The short answer is probably no, she cannot refuse to testify.  Unless she has some privilege, such as that she is being asked to testify against a spouse, a patient, or she is a lawyer testifying against a client, or she is being asked to incriminate herself in which case she could invoke the 5th Amendment.  Otherwise, if she is subpoenaed to court she is required to show up and to answer questions under oath or risk being held in contempt of court.  If she thinks she has some privilege or the subpoena as issued in bad faith, such as that she has no knowledge of the case at all, she could move to quash the subpoena.