Since you don't tell me what you were convicted of or how long your jail sentence is, or how old the children are. I have no way of knowing. It is a possibility.
As a general proposition, you can entrust them to friends. But even if you are going for a short stay, you can and should prepare a temporary guardianship document so that some responsible person has authority to take care of their medical or other emergency needs if the occasion arises.
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