Can Florida Department of Children & Families take a baby because of past DCF involvement in Connecticut because of their predictive neglect law?

Florida law has “imminent danger of illness or injury” language allowing for removal of children from parents. This may be the same concept applied in Connecticut. You can expect DCF in Florida to have access to the DCF records from Connecticut.

Whatever child safety issues presented in Connecticut do not go away by moving to Florida.

You have a right to an attorney and a formal trial, but if there are legitimate child safety issues I recommend that you get a good attorney and consider making some life changes.