You must make some extra research and then decide about this issue. Bites must be judged with other signs at home.
Do bed bugs bite? Yes, they do and will. Because they need food for living, and their main food source is blood.
They have to bite you first to start sucking your blood. What’s interesting with bed bug bites is that you will probably no realize the bite while bed bug is bleeding you because of a chemical they secrete during biting.
But after a while if you realize that you have little red itchy bites, you must be in doubt about the existing of bed bugs around and start a detailed research at home.