I assume the answer will depend on the scenario (i.e. the chip being used, the inductance of the inductor, the current, etc.), however I'm trying to find a general method for determining the minimum distance I can place an inductor to nearby components. At what point would the magnetic field of the inductor start interfering with control chips?
In general, there should be no problem placing the inductor as close as you want to other components, except perhaps other indctuctors or other magnetics. Many times people layout boost or buck circuits with the components too far away from the chip. It is best to follow the company's recommendations. In the case of this part, it is one page 21 of the datasheet: