What I'm asking is if the tilt of a planet can "follow" the rotation around its star so that, for example the northern pole, would always lean towards the star, and thus always be under daylight. <strike>Not that the pole would directly face the star, like with a 90° tilt, but</strike> if the planet had a tilt similar to earth's 23.5°. 

And can that planet have a rotation around its axis, allowing for day/night cycles closer to the equator?

Hopefully this image will explain how I mean. The tilt (red line) stays the same but the pole is leaning toward the star throughout the whole year, while the planet rotate around its axis.
[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/hdO4E.png

Edit: Don't mind the 90° comment, it makes the question fuzzy :/ Added extra explanation for the image.