No, what you have is a Caribena versicolor which is a much prettier tarantula than a pink toe to me.
Lovely! Thank you for that!That's a Ceribena versicolor. A desirable and very pretty spider as already stated previously
For information and to help you on your tarantula journey, before reclassification, they were identified as Avicularia* versicolor. They did however retain the "common" name of either Antilles Pink Toe or Martinique Pink Toe....despite not having pink toes at all.
*Avicularia is the genus that are almost all given a "Pink Toe" tag from a common name perspective.
They are an arboreal spider which means they need height and Cork bark/losgs/plastic plants to anchor to rather than a flat enclosure so hopefully this information was given to you by the store.
Enjoy your new furry friend