Hi,
Systems that have 2 ADC modules should be usable at the same time. There is a brief training that explains how using 2 ADC instances can even reduce current consumption when in low-power mode (ADC for Kinetis K Series MCUs, Section 6: FAQs, Question 4, rev 1.0).
If the current spikes are a problem, then maybe there is not enough capacitance to support the charging and discharging. At the end, you will be having 2 inputs being sampled at the same time, the extra capacitance should be manageable. Still, staggering the Start of Conversion is recommended, to suppress possible noise coming from the switching of the ADC inputs.
We could say the same for PWM, you could start 2 PWM's at the same time, the MCU should be capable of, but at starting them at the same time, the noise generated by this signals will be doubling. By just staggering them a little bit, the noise will be reduced to a normal level.
Hopefully this helps with your question.