@tdawg33072 data recovery is only possible if you can get the phone to start up. there is no way to just pull the data off. That is not to say that certain data recovery companies can't get the data off, but it will cost quite a bit.
Anyhow, since you have no sign of life,try this. First check your charger. Make sure it has proper output. Then check your charging cable. Check to make sure connectors are not bend etc. After that, check the charging port. Clean it of any debris etc, use a few puffs of air to clean it out. If none of this works, get a USB ammeter and see if your phone draws any amperage from the charger. If it does not, it is possible that this is a charging port issue or a bad battery.
To check the charging port, use a voltmeter and measure the voltage on your battery connector. Next plug your phone charger in. Now measure the voltage on your battery connector. That voltage will have to have increased. IF not then the issue is either the port or the charging circuit.
There is also a possibility that there is an issue with the flex cables coming from the charging board to the main board. Check that for micro tears and corrosion and proper connection to the boards. I suggest that you start with a new battery if any of the above did not work. After that it's the charging board and flex cables.