Q:

Can a star orbit around a planet?

I have a story where, there's a planet much like our Earth, (only hundreds of times larger than our Earth) is in the middle of their Solar System, and around this planet there's a Sun, which orbits the planet.
When thinking about this I came up with a 2 problems -

Can this occur naturally?
If this can't occur naturally, is it possible to create this artificially?

The density of the planet is exactly like Earths, if this isn't dense / realistic enough weight could be added, extra iron etc to create a planet with more mass.
Edit - it's not a duplicate as my question isn't about having a planet in the center of the universe.

A:

I would say this is not possible using actual physics. 
Firstly - Planetary Mass
A planet a hundred times the size of the Earth will NOT be exactly like the Earth. Gravity and mass will increase so much life will simply not be possible. 
Secondly - Orbiting star
A star is always much more massive than a planet. A planet about 90 times the mass of Jupiter would have had enough mass to begin fusing hydrogen and ignite, thus becoming a star. So since the lighter objects orbit around the heavier ones, you cannot have a star orbiting a planet... 
You can try and make your planet as massive as possible, and your star as light as possible, but event with that I think the barycenter of your two-bodies system would still be inside the star, only giving it a slight wobble. Your planet, however, will still orbit the star. 

A:

The only reasonable solution I can see would be if the sun appeared similar to our sun to people on the ground, but was in fact something with far less mass orbiting far closer. No natural entity or phenomenon really seems to fit these criteria, so it would have to be some kind of megastructure. It could be purely artificial, like a moon-sized heat lamp essentially, or you could posit that some advanced technology (magic) allowed the creation of a miniature star, fuelled by some means other than its own mass. Perhaps an extremely handwavey wormhole type arrangement siphoning off plasma from a real star elsewhere and containing it within a field of the appropriate size?

A:

The Earth and Sun orbit around their combined center of mass, the Barycenter. That point happens to be inside the sun because it so much more massive. 
If the sun and your planet were the same mass, they'd orbit around a point in the middle.
To reverse the situation and have the Barycenter be near or inside the "planet", your "planet" would need to be hundreds of solar masses and yet not have fusion going. Whatever it would be, it would collapse and turn into a black hole or neutron star.

