You can set up whatever frame of reference works best for a situation. We do it all the time. It's very convenient for us earthers to use a geocentric framing of the universe for our daily life, where the skies revolve around the Earth. We do it every day.
Such as the word "sunrise" is very geocentric. We don't even have a word for the heliocentric term for the same thing. We also use geocentric phrases like "jets chasing the Sun" and "sundials track the movement of the Sun", etc.
You can use whatever frame of reference you want, sure. Does there exist one in which the Sun orbits the Earth though? I don't think so. Those examples sound either metaphorical or about angular position/velocity, not orbit.
> Does there exist one in which the Sun orbits the Earth though?
Yes. It's what I've been talking about in this thread. You could always, of course, demand that the local TV station change the word "sunrise" to "when the Earth rotates until the Sun shines on the TV station", but I suspect that won't be successful.
Such as the word "sunrise" is very geocentric. We don't even have a word for the heliocentric term for the same thing. We also use geocentric phrases like "jets chasing the Sun" and "sundials track the movement of the Sun", etc.