No. Discounts does not have the ability to provide discounts based on customer tag. Discounts simply allows you to place items on sale for all customers.
If you need this functionality, you can achieve this using Bold Custom Pricing. Bold Custom Pricing allows you to provide tiered discounts to different customer groups based on customer tag. For more information about Bold Custom Pricing, please visit our Help Center here: https://support.boldcommerce.com/hc/en-us/articles/360040746531-Custom-Pricing-Overview-Pricing