Small-Batch-Printing United Kingdom Import and Export Companies

I'm looking for a manufacturer that could produce custom printing for notepads/desk pads. Is this something that would be possible here? To start, we would need 4-6 SKUs in various sizes of desk pads, from A5 to A3: A5 size - 100 sheets, 120 gsm paper, custom print design, perfect bind - 500 units A4 size - 100 sheets, 120 gsm paper, custom print design, perfect bind - 500 units A3 size - 52 sheets, 120 gsm paper, custom print design, perfect bind - 500 units A3 size - 24 sheets, 160 gsm paper, custom print design, perfect bind - 500 units