No. At that age my mom had me eating the same food she and my dad were, just blended up. I can safely say I'm fine, have no allergies and am very healthy.
i wouldnt feed a 4 month old baby food yet, you may cause serious allergies. my daughter is almost 7 months and i started giving her rice cereal and banana about 3 weeks ago.
i would start with rice cereal and formula first then move into first stage fruits. be sure to feed the same thing a few times in a row in case of food allergies