Is it possible to enable autocomplete?

This module was supposed to stay quite simple like the Search Block from Core. So I am not sure if this module should include an advanced feature like this.

But you probably can use this module to achieve it:
https://www.drupal.org/project/views_exposed_filter_blocks →

The module cannot be used if you want to offer more filters on the search page apart from the text search. For example, filters by category or content type. These filters would then also be in the block in which you only want to have the text search.