I'm Alex, with the Shopify team!
Thanks for reaching out today! Absolutely, that's doable. We've got a guide on adding SKUs to your product pages right over here; you could use the same code mentioned in that guide to bring the SKUs to your product grid. This would take a little custom coding and experimentation; so there's a few ways of approaching this that I can suggest:
Hope that's helped! Please feel free to let me know, and you can always give us a call or start a live chat at any time. We're open 24/7 for your convenience and always happy to assist!
Alex | Shopify