Yes, there is a Playtex style that comes in size 32. It is the Playtex Cross Your Heart bra. https://www.amazon.com/Playtex-Womens-Cross-Lightl...
Because this has a slightly wider band, it should stop any movement.
Also, Glamorise do bras in smaller band sizes but still with a good amount of coverage and support.
It's also worth noting, that Amazon allow returns so she can try them on at home, and return those that don't fit correctly.