No, it will require a micro SIM. The Ace II X uses the "regular" sized SIM.
Are you sure you want the S4? The phone is nearing 3 years old already. It won't be updated anymore. I highly recommend a more updated model like the Moto X Play, which is better in nearly every category.
If you're hung up on a Samsung phone, then look at the S5 Neo or A5.