One can gradually collect voltage to a capacitor with a current or electric current to an inductor with a voltage. Having one quantity A which grows or decreases gradually due another quantity B is essential for oscillations. In addition we need a control circuit which reverses the polarity of B to force A in turns to increase and decrease. The control circuit must directly read A to decide how B should be changed.
We have several mechanisms where resistance increases or decreases due some quantity X. For example a voltage over a resistor makes a resistor warmer due the dissipation. The resistance of an adjacent NTC resistor decreases gradually. As well a voltage can run a DC motor which turns a potentiometer.
These can cause oscillations if we allow some test signal to be applied to measure the resistance. Resistance cannot be seen directly, a voltage is needed to see what current is caused or a known test current must be made and the voltage is measured.
A simple resistance oscillator with an electric sensing circuit can be a bridge, where a motor turns a pot and that pot supplies a voltage to motor from a bipolar DC source. Without any inertia the motor stops to the position where it gets 0V, but the rotating mass easily continues the movement and the balance is never found.
If we need a system where the resistance swings and at the same time just that resistance must not be used for any electric signal in the oscillator, but it still must be the seen quantity of the circuit which controls the resistance, we unfortunately are out of the luck.