It might be possible! The issue is if you encrypted the drive if not then you have a chance here.
You'll need to get a SATA to USB adapter cable so you can connect the removed HD from your laptop and connect it directly to a second working system. If you can do that you should be able to access the file like you would on an external HD.
Heres one possible cable: [https://www.startech.com/HDD/Adapters/USB-3-SATA-adapter-cable-with-UASP~USB3S2SAT3CB|Startech 2.5" SATA to USB adapter] and here how to remove your HD: [guide|76076|Acer Aspire 5742G HDD Replacement]