f7 without f3

Of course! If you find while studying for F7 that you really do not remember whatever you have learned at university (that gave you the exemption from F3) then looking at the relevant F3 lectures will be useful for you. Hopefully, that will not be needed :-)

thank you so much for your reply. what are the important topics that i need to cover in f3 inorder to study f7?

I am afraid that everything is as important as each other. Everything in F3 is relevant for F7 (although where relevant it is re-taught in our F7 lectures).