If my crown is loose does that mean my tooth is as well?

Just because a crown is loose does not mean the tooth underneath it is loose.  Although baby teeth are not meant to last forever, many times if you have a baby tooth and no permanent tooth underneath, the roots of the baby tooth will ankylose to the bone and sort of become one.  I would have a dentist evaluate it to see if the crown is loose, or if the tooth underneath it has an issue.

The crown being loose does not necessarily mean that the baby tooth below is loose.  However, baby teeth can obviously fail and are not meant to last a lifetime due to the short and thin roots.  I would have a dentist evaluate the tooth/crown and see if they can figure out if the crown just needs to be re-cemented or if there is a bigger issue with the tooth itself.