Absolutely. It gives Peter the best of both worlds.
Organic webs mean he’s never completely disarmed. Even if his web-shooters are damaged or run out, he still has a reliable backup. The web-shooters, meanwhile, offer precision—different web types, gadgets, and tactical options that organic webs alone can’t replicate.
Ironically, this could become the most complete version of Spider-Man we’ve seen. He’d keep the creativity that defines Peter Parker while removing one of his biggest weaknesses: running out of webs at the worst possible moment.