Logic Board Swapping to Access Memory

Hello,

The case is my IPhone 4S has many broken parts, the screen broke, home button not functioning, battery died and charging port is probably broken.

I am trying to recover my data but the phone won't turn on, but I know it's still working because last month I was able to access it briefly (while it's broken like that).

Would it be possible to switch the logic board to access the phone?

And I mean that, can I take the logic board from the broken phone and place it in a new phone (of the same type) and gain my data from it that way?

or should I try replacing all the broken parts?

Any advice is appreciated and thank you in advance.