Unfortunately
dependency in the UK, is not usually accepted, however if you can provide evidence that you have medical condition, which require the care of the EEA national or family member, you will then be considered under regulation 8(3), and could be entitled to a Residence Card, if following an Extensive examination of your personal Circumstance, it seems appropriate to issue the card.
If you can show that, or if your situation is as such, then you don't need to provide proof that you have lived or dependent on the EEA sponsor in another country.
If you could maintain your student visa status for a further 2 years, then you might qualify in your own right for ILR, subject to KOL UK being passed.
You can also swear an affidavit, which i am sure they should accept.