Yes. Drop balls are effectively awarded when the ball becomes dead during normal play (and the lights going out would be appropriate for that). Neither team should be punished by having control of the ball given to the other, so a drop ball is awarded - two opposing players stand either side of the referee who drops the ball between them at the point it became a dead ball to contest it.
The normal reason for a ball becoming dead during play is when a player is badly injured and the referee stops play so treatment can be administered immediately. The normal procedure - though it's not required - is then for the team who had control of the ball at the time to not contest it and the opposing team wellies it back to them (usually to their keeper).
If a drop ball were awarded for the ball being classed dead due to floodlight failure, it'd be at the point the ball became dead - just short of the goal line here - and it'd be up to the teams whether they try to gain control of it or not.
The answer is likely to be, here, an indirect free kick to the attacking team at the dead ball point, a drop ball at the dead ball point or a kick-off.