AFAIK this is correct. Carbocation rearrangements require anion shifts; meaning the adjacent group shifts with its electrons. This effectively "shifts" the positive charge. The thing is, this type of shift typically occurs to create a MORE stable intermediate, not less. Although a six membered ring may be more favorable in the end, the intermediates/T-states are highly unfavorable; thus the reaction will likely not proceed through this pathway.
This is easy to visualize if you know how to draw reaction coordinates (reaction progress on the X-axis and relative potential energy on the Y-axis). You will most likely, later in the course, learn about the phenomenon of Thermodynamic vs. Kinetic control where you will have to think about the relative energetics of the final products and the intermediates on the pathway(s) to getting to these products. Don't make yourself crazy yet about this type of thing, but its important to think from an energetics point of view.
Now go and work out the stereochemistry of the products, this is a bit of a tricky part which usually catches many students off guard.