I'd say maybe no?
I'd probably find it weird if you sent me an invitation with that.
Maybe if it was your second and you didn't have to buy any baby items that would be more likely, but people want to buy baby things.
And know that even though you register people will buy you RANDOM things they think you need, which made me CRAZY!
I did two registries too, BRU and Amazon and I had them both on the invitation, so two is fine, it makes it easier for people to go to the store that is closer to them.