You’ve posted in the Illustrator Draw (mobile app for iOS and Android) forum. I’ll move this post to the Illustrator (desktop/laptop) forum.
Your system appears as though it meets the requirements to run Illustrator, albeit somewhat towards the minimum end. Your graphics card may need to be reviewed as well. Here are the published requirements:
Adobe Illustrator system requirements
You can always download the free trial for a 7-day evaluation prior to deciding to purchase. This should give you a chance to test drive it on your laptop:
https://creative.adobe.com/products/download/illustrator
Mike