Per the hardware and HCL requirements, it meets all the specifications.
A laptop?!?! you MUST be joking, no way a Laptop is on the HCL.
What I like to know is if my drive has a C: and D: partition, is it possible for ESX to be installed onto the D: partition? D: currently has data stored on it.
Has to be formatted, can't be existing...
And if it is installable, once installed, can I run vCenter or vSphere Client (installed on my C:) to manage/view the ESX server that was installed onto the D: partition?
Best thing for you to do is install VM Ware player, then install ESX as a VM, then you can manage it. ESX is bare metal, meaning it replaces the BASE OS, you can't dual boot ESX.