If so, how will the experience be?
If it does, you probably won't be happy.
What are the full specs of the laptop?
the bigger problem may be that its AMD. adobe doesn't appear to have any amd machines in their QA, as they have had several major amd bugs. these are show stopping bugs, and have taken months to be fixed, over a year for one. they aren't exclusive to premiere either, its been in several different adobe apps. so until we hear otherwise from adobe QA, we should consider amd as incompatible hardware, use at your own risk.
for a good laptop, look for a 4 core intel cpu, like i7-47xxhq or i7-67xxhq, 16gb ram, and nvidia 950m or better. these will start at around $800-900.