I don’t think so. The star has to orbit around something heavier than itself, and a planet can’t be heavier than a star.
A planet can be at most around 10x the mass of Jupiter, so around 1.89813×10^28 kilograms
https://hub.jhu.edu/2018/01/23/size-limit-planets-brown-dwarfs/
The minimum mass for a star that does star stuff is about 80 times Jupiter
[https://www.atnf.csiro.au/outreach/education/senior/astrophysics/stellarevolution_mainsequence.html#:~:text=Stellar%20Mass,-As%20was%20apparent&text=The%20lower%20mass%20limit%20for,forms%20a%20brown%20dwarf%20instead](https://www.atnf.csiro.au/outreach/education/senior/astrophysics/stellarevolution_mainsequence.html#:~:text=Stellar%20Mass,-As%20was%20apparent&text=The%20lower%20mass%20limit%20for,forms%20a%20brown%20dwarf%20instead).
NASA found some stuff that they’re pretty sure are brown dwarves and estimate the smallest one at only 3 or four times as massive as Jupiter, which means that a brown dwarf this small could orbit a huge planet
[https://www.psu.edu/news/eberly-college-science/story/nasas-webb-telescope-identifies-tiniest-free-floating-brown-dwarf/#:~:text=The%20smallest%20of%20these%20weighs,collapse%20and%20form%20a%20star](https://www.psu.edu/news/eberly-college-science/story/nasas-webb-telescope-identifies-tiniest-free-floating-brown-dwarf/#:~:text=The%20smallest%20of%20these%20weighs,collapse%20and%20form%20a%20star).
Usually they’re about 75 times as massive as Jupiter though https://www.britannica.com/science/brown-dwarf#:~:text=Brown%20dwarfs%20usually%20have%20a,of%20about%2013%20Jupiter%20masses.
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