Of course, there may be legitimate reasons to have Edge on your Chromebook, such as password sync with your desktop browser, or if you like the features such as Collections.
It turns out it’s pretty simple and does not require any hacks.
First, you need to download the Linux version of the Edge browser. To do this, visit the Microsoft Edge Insider page. The download page will say your OS is not supported, but we are ignoring this by clicking on ‘More platforms and channels’, scrolling down on the next page and then clicking the download button under ‘Linux (.deb)’.
Source: Here’s how to install Microsoft Edge on Chrome OS Chromebooks – MSPoweruser