Does that popcorn ceiling contain asbestos and will it be bad for my baby?

Maybe. Some popcorn ceilings that were applied before the 1977 ban do contain asbestos. Asbestos is typically only harmful if the material is allowed to release into the air - such as during removal processes. Because it is potentially harmful if inhaled you should contact a local home inspector for information on how to address the situation and if your particular situation poses a risk.