Is it possible to get render a field for a paragraphs field in the parent twig template My use case requires that I get a fields values in the parent paragraph template file.

So to be more clear I have a paragraph type (wrapper) which itself has a field referencing to another paragraph type (nested).

I am trying to get the values of a field (like title) from the child paragraph (nested one) in the parent twig template.

Hope for some help with this.
in your node.html.twig file you can traverse up the element array like this 

{{node.field_parent.entity.field_paragraph.entity.field_text.value}}


where 


field_parent.entity is the parent paragraph
field_paragraph.entity is the child paragraph attached to parent
field_text is a text field attached to child paragraph


OR inside your paragraph.html.twig 

{{paragraph.field_paragraph.entity.field_text.value}}


NOTE: its actually better to put this code in a paragraph--parent.html.twig file otherwise this template is going to be used also for the child text paragraph which does not have field_paragraph and its going to lead to error.