If it's a part of the cable that's suspended between the pole and the property, then the difficulty will be not so much making good the electrical connections, but the mechanical one. The drop cable is under some fair tension on a suspended section. You'd struggle to bring the cut ends anything like close together.
If you are in need of a more urgent bodge, then leave the cut ends fallen where they are and splice in a length of whatever twisted pair cable you have to hand: telephone extension cable / cat5 / cat6 / whatever.
The BT Drop Cable often has Orange, White, Green and Black wires. Usually (but not always) Orange and White are the pair in use, and these are the 2 wires you need to splice through. ( The other pair are spare, and can be used for a second line etc. )
If it's a section which is not under tension, eg an un-tensioned drop between the point where it is attached to the house, and entering the house, then it's easy. Have at it.
