IF your computer has a DVD/CD burner you should be able to replace that with a Blue-Ray burner. BUT without knowing the full specs we can not tell if you can add one. To ADD one you need a free 5 1/4 bay and a free SATA port and free SATA power plug.
1haplo is right, but most likely you have all those requirements, even PC's several years old do and are able to install a Blu-ray Burner.
One piece of advice for when you use your Blu Ray burner is to set it at a very slow speed while burning your first disks maybe 1x-2x the first try, that is to make sure your PC can keep the buffer full and help get a good burn and not make coasters out of your expensive disks.