Sure, but probably not at max graphics. It could have texture problems but your specs do match the minimum gta iv requirements. For max graphics, you'd need a quad core processor and 1gb graphics memory.
Yes you can run GTA IV on your laptop given specification but you have to adjust your laptop resolution manually which is best fit with you game resolution. Right click on you desktop and go to properperty here you can select your desired resolution and can play your game very easily on your laptop.