No.....You will not see this. In Advanced Organic Chemistry there are cases when you see multiple shifts.
Do a single shift to establish a better carbocation. Usually there is not enough time. A nucleophile is sure to attack. If you have interest in this, you can find examples in Advanced texts.
If for example, you worked in Magic Acid....SbF5-HOSO3F...this can occur; multiple shifts one after the other !!!!
These acids allow long-lived carbocations to survive long enough to rearrange to optimum stability.
Hope this helps on a GREAT QUESTION !!!!!
Dr. Jim Romano