No. You will be refunded any ETV and it will be removed automatically from your ‘to be reviewed’ list, but you will not get your pick back.
This change occurred late in 2023. Prior to that, picks were refunded when you canceled an item.
NOTE: Cancel at your own risk! While many Viners have been canceling orders through the Order Details page without any apparent issues, the official Vine help page says canceling “is not yet supported”. While it seems canceling orders is fine so far, proceed with caution when deciding how many of your orders to cancel.
See "is it ok to cancel an order?" for additional details.