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Aeronautical Engineering would be an excellent major if you are interested in becoming a commercial pilot. They would both complement each other very well. The only trouble I may see is that Aeronautical Engineering may be so involved that it would distract from being a pilot, because both can be very involved studies.
In order to be a commercial pilot a 4 year degree is highly desired, however the exact major does not have to be quite as specific. Many pilots who complete a 4 year college degree major in business with an aviation management emphasis. This gives you the opportunity to "fall back" on another job if flying doesn't quite work out for you at some point in the future.
The important thing is that you have a 4 year degree, do well in school, and achieve the required pilot certifications. The flying that you do could either be done in conjunction with your 4 year degree, or you could do it from a flight school not connected with your university.
To more specifically answer your exact question... yes people with those degrees can become a commercial pilot, however they would need to learn to fly as well and achieve their pilot certifications.