Is it possible to translate image Title and Alt fields and sync images between tranlations? Since it would be much easier to manage site with images synchronized. But I have to translate Title fields too.
Assuming you're talking about images uploaded to the site by users and administrators (and not static images that are integrated into the site as parts of a theme or a module), and you're talking about Drupal's core locale framework for translation and the built-in extensions available through the i18n module, the answer is "no".

Like everything else, it is of course possible to create a custom module to manage translation of image title fields (preferably as a submodule of some popular image management module), but I am not aware of anything like that already exists.