Hi.

Is there version of JF Texturie with left position too?

no,this template supports only right position.

Is there any way to add left position?

Hi. You could edit the file
/templates/jf_texturia/css/template.css

FIND
#jf-main {
float: left;
width: 680px;
margin-right: 20px;
}

REPLACE WITH
#jf-main {
float: right;
width: 680px;
margin-left: 20px;
}

cheers!

And when i want both (left and right)

You have to create a new module position in index.php of template and reconfigure modules width and floating etc. in template.css.

Some knowledge in Joomla / PHP is required for that.
You can also try to use conditional states later if u are able to understand the basics of Joomla modules. (for example if no right / left modules activated than the content container should habe 100% width, if left modules are present than left should have width 33% with float left and content container 66% with margin-left: 20px for example etc.)

You can read this posts to understand how to add new module positions and how they work:
docs.joomla.org/How_do_you_add_a_new_module_position%3F
docs.joomla.org/Customising_the_way_modules_are_displayed

Unfortunately we cannot give free support for that.
Thank you for understanding.