Programmable Variable Inductor
You should mention in what frequency range you want to use this.

Since the link points to tunable inductors mainly used in IF filters and oscillators in the 10 - 200 MHz range I'm going to assume that's your intended frequency range as well.

Maybe a digitally controlled inductor could be made but it would be complex, expensive and large. Either you would need many different inductors and switch between them or have an inductor with many taps and switch between those.

That's why almost everyone uses variable capacitors instead. Either voltage controlled (varicap) or digital.

These inductors are almost exclusively used in LC tanks in oscillators and filters. That's LC as in Inductor and Capacitor. The solutions for making a variable capacitor are much simpler and cheaper. Any diode is already a variable capacitor, if you bias it in reverse mode the capacitance changes with the reverse voltage.

The tunable inductors are often tuned in manufacturing to get a coarse tuning, if needed additional fine tuning can be done electronically using varicaps or using digital control which switches on/off banks of small capacitors.