Definitely plausible depending on the specific issue. I will also mention that this MacBook is one of the last to have removable storage. So if you have a friend or family member with a function keys Mac from 2016 or 2017, you can pop your drive into their machine and process a backup.
Depending on what the actual issue is, could be an easy fix. Or you may be able to get data even though it doesn't seem like it's powering on. I actually wrote a [guide|155945|Guide about this exact sort of situation|new_window=true]. And there is a page for further troubleshooting [[MacBook Will Not Turn On|No Power issues|new_window=true]], although it sounds like you've gotten that pretty well narrowed down.
If you determine the issue is in fact no power, there are still options. I would recommend [guide|87799|taking the bottom off the MacBook|new_window=true] and attaching some pictures of what the board looks like in your question. We might be able to see an obvious issue.