Rendering word documents as PDF

Question

Is it possible to render a word document as PDF on opening from SharePoint?  This is different to converting a document and saving it as PDF which creates a separate file. This would be displaying a word document as PDF based on some user &/or document characteristic. For example if a user has read only privileges  and they click to open a word document in a library it would actually open as PDF because of their restricted privilege. As another example if a user was acessing a mobile version of a site the word document would open as PDF based on a rule to display the PDF output to the mobile site version.