Do cheek implants make the nose and/or nostrils wider?

Properly placed, sized and positioned cheek implants should not change the width of the nose.  If the width of the nose is changed in B and A pictures, it could be secondary to early pictures and post operative swelling.  

In some patients cheek implants can make the nostrils a but wider but it is not because of the pull of the implant. Rather if an extensive or long maxillary vestibular incision is used for cheek bone access, the muscles that are close to the nostrils become detached from the bone resulting in increased nostril flare afterwards. But generally cheek implants do not cause nostril flaring if the incision is limited and placed closer to the cheek area.

Cheek implants are manufactured in a variety of sizes and shapes and are placed over the maxilla well away from the nose. They are placed through an intra-oral  incision under a brief general anesthetic.  Cheek implants have no bearing on the size of the nose. For many examples and more information, please see the link and the video below 

This is a great question. First, you have to understand that there are different types of facial implants that may be grouped under "cheek implant" (eg. pyriform, zygomatic, orbital rim, or combination). These devices are use to augment the bony structure but also do have a significant effect on the soft tissue. Size of the implant, positioning, extend of disection of the pocket can all have a profound effect on the final "soft tissue" result. Good communication between the patient expectation and your surgeon will ensure that everyone is on the wavelenght. Clearly, experience of a surgeon always does have some influence but an understanding of what can be accomplished with cheek implants is as important.