I think you can try these fixes too. might be these can help you.
1. If still no display after removing ram and power supply is also working then. try to remove your HDD and then start your laptop can you see its display. some its because of sata controller failure so no display. If you have two rams then try one by one.
2. Incase still no display but cpu fan works fine then most probably issue is with BIOS.
3. Some times its because of hardware failure too. if possibly you can open back side of your laptop try to remove your WIfi and Bluetooth adapters, cd rom or any hardware which is connected to mother baord except ram, graphics and cpu
. then try to start. if any display.
4. Second last option is if you only want data or software. if your both laptop are of same league or capable enough to run same windows from UNI A . then take our HDD from Uni A and replace it with UNI B and most probably it will boot up from that HDD. if both are having totally different specs, then try boot fixing software using USB so they will make your HDD bootable for UNI B Laptop.
5. Last option is take out hard drive(HDD) from UNI A. buy a portable sata to usb adapter. connect your HDD to tat and use it as a external drive. incase that software dont need previous windows system files then most probably it will work.
in last pray to ALLAH.