Does this Walmart have grocery pickup?

Yes it does. They just recently started doing grocery pickup. The pickup area is located between Walmart and Home Depot.

Thanks to you both. That particular Wal-Mart doesn't have it yet but the one farther south does.

I have ordered and picked up groceries from there myself

Certainly they might, it is big supercenter with all services. You can call customer center for more enquiries.