if all the hoses and the rad are fine then possibly yes you can go to uni.
your car your choice
it will only take you 5 min to open the bonnet and look
step 1
open bonnet
step 2
take lid off coolant
step 3
peer inside and see if there is any fluid
step 4
if no fluid, check all the hoses
step 5
check rad
step 6
if still not sure pour water in through now open coolant bottle, and wait to see water come out.
step 7
look where water is coming from
step 8
tell us, or ring your local garage.