The answer is "maybe".
This is your processor: Intel® Core™ i5-2400S Processor (6M Cache, up to 3.30 GHz) Specifications
It uses socket LGA1155.
Now, the tough part. To upgrade a processor, the replacement processor must be socket, BIOS, and chipset compatible.
This means you must contact the manufacturer of your PC/Laptop or motherboard, and ask them which processors are compatible with their BIOS. Then, you can select from those processors.
Many manufacturers have a product support page which may tell you what processors and BIOS level is required.
Ok, is there any good news in all of this? Yes, your cpu is not soldered to the motherboard, which means you could not replace it.