Not even a remote chance.
The 13" MBPs with this model designation all have an SD slot, single audio jack, and a firewire port. Also, the battery is "permanently" mounted in the case. The 13" aluminum unibody Macbook has separate audio in and out, no FW or SD, and a removable battery.
If you get into the unibody MBPs, there is SOME cross model compatibility, but even that gets iffy. I was given an early '11 13" with a dead lobo, and opted to put a mid-2012 in it. That WAS a drop in, and of course got me a newer generation of processor(ivy bridge vs. sandy bridge), USB 3.0, and a better GPU(HD4000 vs. HD3000). It can also run Mojave natively.
The LoBo swaps have to be looked at case-by-case though.