Is it possible to implement non Sencha controls / 3rd party scripts in a Sencha project?
For example Ext JS / Sencha Touch can do everything what jQuery can do. Like DOM manipulation. It's all part of the Ext JS core package. Please see the dom sub packages, like: http://docs.sencha.com/extjs/5.0/apidocs/#!/api/Ext.dom.Query
Ext JS has its own MVC,MVVM Architecture layer, class system and datapackage, so there's probably no need in integrating Angular within your Sencha app.
Ext Js has its own components and layout system, so there is no reason to integrate Twitter Bootstrap or Zurb Foundation within your Sencha app.
Still convinced you need to integrate external / third party tools within Ext JS?