Will liposuction of the lateral chest, upper back, and arms make my breasts look bigger?

It is difficult to answer your question without any photos or a consultation. That being said, high defintion VASER liposuction is very effective at removing fat from stubborn areas like the back, arms, and abdomen.. The Gold Standard for superior liposuction results requires use of the advanced technology of ultrasound assisted VASER liposuction. As an official trainer of VASER liposuction, I perform full body liposuction cases every week. VASER liposuction has been the only modality that has consistently resulted in outstanding liposuction outcomes. VASER liposuction ensures a smooth contour regardless of degree of excess fat by virtue of being able to remove any and all remaining fat comprehensively and uniformly. If skin redundancy is observed, Renuvion technology can be simultaneously applied to tighten your skin to optimize your overall contour outcome. A Skype or FaceTime consultation with a VASER specialist will help you get an accurate recommendation and pricing.
Respectfully, 
Arian Mowlavi MD, FACS
Realself 100 Hall of Fame Inductee

I typically view the torso as a single anatomic unit when it comes to body contouring. This means if somebody wants abdominal liposuction I typically recommend treating the entire torso as a single unit to leave people with a natural even thin fat distribution of all the areas you describe.
technically a full torso includes upper abdomen, lower abdomen, love handles, waist, back and armpit or under arm area. The armpit is typically extended to include the front bra roll in front of the shoulder as well..
as you expressed yourself partially treating the torso leaves people partially treated. The answer to your question by the way is yes. It complements the breasts to remove the fat around them especially if the Liposuction goes right up adjacent to the breast periphery.  and some women I even do this on the very upper part of the chest around the clavicle‘s as well.
obviously the degree of improvement varies from patient to patient.
Adding the areas you were talking about in combination with what you had done previously is what I typically recommend for all my patients with some exceptions.
Best, 
Mats Hagstrom MD