is it possible to dropship meesho products through a shopify store?

Also think about delivery times and cash on delivery. Your customer is waiting for Meesho's shipping plus the time you take to place the order, and COD returns cost you on both legs. If you take payments on your own Shopify store you're the seller, so talk to an accountant about GST before you start.

Technically you could, by ordering on Meesho in the customer's name each time, but there's no proper integration, so it's all manual. The parcel turns up in Meesho packaging with their invoice inside, which confuses customers and makes your brand look like a reseller. Returns are the real pain: the customer returns to you, you return to Meesho, and the windows don't always line up. If you want to test products cheaply it can work for a handful of orders. For anything ongoing you're better off with a supplier that actually supports dropshipping and lets you send unbranded orders.