Not quite, but sort of. :-)
I don't think it's possible to click on the artist or album to link to a web page, but you can set up Internet links.
Preferences > Internet > custom web links. Then go to Arrange Panels (little box to the left of the search box) and find "track information" on the left and click on the three dots to open the settings and select which custom links you want to appear. Finally, when you select a track or album, double-click on one of your custom links and it will open the relevant page.
Here are examples to set up Wikipedia as the source:
Wikipedia Artist
https://en.wikipedia.org/wiki/Special:Search?search=<Artist>
Wikipedia Title
https://en.wikipedia.org/wiki/Special:Search?search=<Title>
Wikipedia Album
https://en.wikipedia.org/wiki/Special:Search?search=<Album>
You can use any source or sources you want. Such as Discogs, MusicBrainz, Amazon, etc. You just have to figure out the correct syntax to get the proper results.