Assuming that the vehicle is front wheel drive, you have four abs sensors, one behind each wheel.
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If one tire is larger than the other or one tire is more worn than the other, yes, it can cause the traction light to come on.
The ABS (anti-lock brake system) has moniters (speed sensors) at each wheel measuring the rpms and sending that info to the ABS module.
Could be a broken ABS sensor ring at one of the wheels
Bring to a shop that has an ABS Scanner
This indicates your ABS has a problem. Could be broken wire, a misaligned sensor or a number of other things. You need to go to your agency to get it checked.