While recommend using a VR capable desktop PC with FOVE, it is possible to use FOVE with laptops, and many have done so.
The first thing to consider with laptops is the specs are much lower typically. VR systems generally require high specs due to the demands of VR rendering. Make sure you buy a laptop that meets the minimum specs listed here: What are the minimum PC requirements of FOVE 0?
The main problem with some laptops is that they with an Intel integrated graphics card (which is not supported by FOVE) and a discreet NVIDIA graphics card. The laptop can switch between the Intel card, which is better for battery life, and the discreet card, which will give better performance. NVIDIA calls this technology "Optimus". This is a good technology for laptops since you can have the best of both worlds (battery or performance), depending on the application, but it can cause problems with VR systems.
The issue is that the HDMI port of the laptop must be directly accessible in hardware from the discreet card, which is not the case in some Optimus laptops. Some only have the Intel card linked to the HDMI port, and these will not work with FOVE. For this reason, we recommend only purchasing laptops that are advertised as VR-ready.
Also keep in mind that many HDMI adapters don't function with FOVE, so we recommending finding a laptop with an actual HDMI port.
If you have an existing laptop, or the ability to try before you buy, it's perfectly safe to give it a test with FOVE, and see if the laptop functions with FOVE. If it functions, then give us an email and we'll compile of list of known working laptops, so others can buy in confidence.