Hibernate and other SQl DB’s don’t do this out of the box, but there are tools that allow sync’ing of the DB on a schedule.
If what I am hearing or in this case reading between the lines with, what you are talking about is offline and online storage, if that is the case then you should look at storing on the server when there is a connection, if not then store locally.
But there is nothing out of the box that does this.