Where can you download or obtain (preferably freely) such a chart like http://www.internationalphoneticalphabet.org/ipa-sounds/ipa-chart-with-sounds/ with each phone pronounced, for offline use?
The UCLA phonetics lab has a web page that hosts the materials on the CDs of Peter Ladefoged's books. Here is a link to his performances of the IPA chart.
This is too long to feed into a comment. NTNU has a web page with IPA recordings, which does not work. They have a Norwegian version here, which does work. You can also download the relevant files where it says "Last ned norske_spraklyder.zip" (i.e. click this) which will give you a zip file with the folder "norske_spraklyder". If you unzip the file and go to that directory, then navigate to the folder "no", you can click "index.html". Under "Innhold" you have the option of "Konsonanter", "Vokaler", and let's skip the other two. It's quite possible that this still won't play (browser configuration stuff), but in theory you now have the material on your computer. The sound files are in the subdirectory "snd". So if you want to hear "p", you can hover over "p" and it will tell you that the sound is "IPA101", so you can click IPA101.mp3 and hear [aˈpʰa]. You can also click IPA101_i.mp3 and hear a female speaker's production.
Here are few good links from wikipedia https://en.wikipedia.org/wiki/IPA_vowel_chart_with_audio