Can I recover files from a burned hard drive on my MacBook Pro 2019?

Burned? Burned how? As in by fire? Then probably not.

You would simply recover your files from your backup drive.

Back up your Mac with Time Machine - Apple Support

Apple includes the Time Machine software on every Mac. All you have to do is add an external drive and set up the backup. Use this only if you value your files.

Re: “my macbook's motherboard is all burned out, so is there any chance I can recover my data?”

Not if you failed to make backups.

Backups must be made before catastrophe occurs. Afterwards is generally too late. Especially on a Mac with a T2 security chip and soldered-in flash chips, whose contents are encrypted using keys held by the T2, and which reside on a motherboard that is “all burned out.”

Mac computers with the Apple T2 Security Chip - Apple Support

Unfortunately the storage in that 2019 MBP is soldered to the motherboard. It is not removable and accessible for data recovery if the motherboard is failed.

Situations like this are what make having a back up so important.