Dropshipping is merely a fulfillment model, one used by many global retailers, and is perfectly legal. Like with any business, satisfying customer expectations and building a brand that resonates with the right audience is still key to long-term success.
This question usually comes up due to a misunderstanding of how dropshipping works. Most retail stores you shop in are likely not selling products they personally manufacture. Dropshipping takes this curated approach and turns it into a fulfillment model fit for an online business.
There are, of course, the more fundamental things you need to do in order to run your business legally. Consult a lawyer who specializes in these matters to ensure you’re conducting business legally in your region.