Vakalatnama is an official document submitted before to the court of law for legally represeting an Individual. In your case to what i understand you have cleared your LLB and also have written AIBE but yours results are not out and asking can you file vakalatnama, In this case
Yes, you can. As you have already cleared your LLB and hope by now you should have enrolled for the State Bar council.Post your LLB you have 2 years time to finish your AIBE to continue your practice. In the inital period BAR council of the state would issue a Provisional-COP with your LLB degree by which you can practice for 2 years and within that period you have finish the AIBE and then BCI would get you the extended COP which would be valid for life long until you cancel it or it is canceled due to odd means.
If your State enrollmet has not expired that is 2 years has not happened from the time ogf state registeration you are eligible to file vakalatnama and in case 2 years have expired then you need to wait for AIBE and post you get a COP from BCI then only you would be eligible to practice or File vakalatnama
SK Sharma