Nope. I've done it before and will get it on the day of promised delivery. changing or requesting pick up never effected my delivery date at all.
Edit: Well I take that back a little. I believe that's if you choose to redirect it to the UPS Store. I don't think that's the case if you choose the option to pick it up at UPS CC. I just did it and confirmed that it would be ready for pick up on 9/22/17.
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It looks like I can. I found out I had put a different name so I changed it to my given name and I can change to have it pick it up I'll probably have it pick up at UPS CC.
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Mine said Next Day Air as well. But delivers by End of day. From what I understand, they deliver to business first and then residential. So it depends. For example, there are times I see the UPS truck in my Condo area usually after 3 pm and sometime as late as 6 pm. Anyways I was able to request a hold for pick up at my local UPS CC starting on Friday. So I'll be picking it up there tomorrow.