Hello,
No, it is not too early for the baby to have dropped. Some babies do drop earlier.
But, yes, there is a chance that you may not go upto 40 weeks. You may go into labor earlier but this is not fixed rule.
Generally, the baby drops about 2 weeks before the delivery, but women have been known to go to term even after the baby drops. So, in your case, you may or may not go to term, but it is better to be fully prepared to go to the hospital at any time.
I hope this helps.
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Experienced in the management of Pregnancy,Infertility,Menopause and all problems in Pregnancy and Gynecology