PHP Pages inside wordpress page

Yes, it is even easy.

Do this is a child theme, details here:
creating a child theme http://codex.wordpress.org/Child_Themes

Then, in the child theme you create a custom page template, initially just copy and rename the page.php from the parent theme. Add you own PHP to the page template. To use your code, create a page, assign it your custom page template.

Shortcodes are a handy mechanism for activating PHP functions and have them generate content.
Details here:
http://codex.wordpress.org/Shortcode_API

Would you care to give the community a progress report? point out tricks you had to learn, explanations of what was easy and hard ?

Also if appropriate could you mark this thread as resolved.