Yes. It is possible to receive more than one vaccine at the same time. In fact, many vaccines are already combined, for example, measles, mumps, rubella (MMR) and diphtheria, tetanus, and pertussis (whooping cough) (dTpa).
Giving vaccines in combination means fewer trips to the doctor and fewer delays in disease protection. Side effects from combination vaccines are usually mild, and are similar to when the vaccines are given separately.