Hide files with certain extension in Sublime Text Editor?

Are you talking about the sidebar? For example, if you select File → Open and select a folder, then the folder and its contents are displayed along the left side, allowing you to navigate amongst its contents and sub-directories. If that is the case, then the answer is yes, files can be excluded.

Select Preferences → Settings – Default to open a tab called Preferences.sublime-settings – Default. This file is read-only, so you'll also need to open Preferences → Settings – User. The first time you open your user preferences it will be blank. It (and all Sublime config files) are in the JSON format, so you'll need opening and closing curly braces at the beginning and end of the file, respectively:

{

}

Activate the default preferences tab and search for file_exclude_patterns (which is on line 377 in ST3 build 3083) and also folder_exclude_patterns if desired. Copy its contents to your user preferences file, like so:

{
    "file_exclude_patterns": ["*.pyc", "*.pyo", "*.exe", "*.dll", "*.obj","*.o", "*.a", "*.lib", "*.so", "*.dylib", "*.ncb", "*.sdf", "*.suo", "*.pdb", "*.idb", ".DS_Store", "*.class", "*.psd", "*.db", "*.sublime-workspace"]
}

and feel free to add your own customizations. Please note that there is no comma (,) after the closing square bracket, as in this example this is the only customized preference. If you have multiple ones (changing fonts, window options, themes, or whatever) you'll need a comma after each item except the last one (trailing commas are illegal JSON):

{
    "translate_tabs_to_spaces": true,
    "trim_trailing_white_space_on_save": true,
    "word_wrap": true,
    "wrap_width": 0
}

You can also set them up per project and ignore folders, in your .sublime-project file, e.g.:

{
    "folders": [{
        "path": ".",
        "folder_exclude_patterns": [".svn", "._d", ".metadata", ".settings"],
        "file_exclude_patterns": ["*.pyc", "*.pyo", ".project"]
    }]
}