Here is the relevant Trello ticket for this feature. You can vote for it if you make a Trello account.

Can I also see the actor's names in my own language (or English only)? I understand that people speaking russian or asian (or other languages) appreciate this, but I can't even read them.

And if it is possible, then how do I do this?

This is a 100% user contributed database, so in order to see the transliteration of non-latin names into your own language it is first necessary for another user to add it. Unfortunately, this is quite a demanding job (I myself spent several months adding transliterations of about 18k Japanese names (out of 130k+) into Czech) and it depends a lot on the popularity of your language whether someone will commit to it consistently. For this reason I recommend using fallback to English.