Can a Canker Sore Develop into Hand, Foot, and Mouth Disease?

My baby has had a cold for 8 days. Initially, it was just fever, but after getting shots and medication, the fever subsided. Two days later, a sore appeared in the throat, and the fever returned. After five days of intravenous drip treatment, the fever still recurs. The gums are a bit red and swollen. Is this Hand, Foot, and Mouth Disease?
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