Rosami - there are hypothetical failures which could damage a driver. Other DIYs here might know specifics. A feed resistor on the tweeter, or even midrange, could short rather than going open (highly unlikely). Such failures would usually be visible, as in burned parts from current overload. Look at your crossovers and if they look OK they probably are OK.
Driver failure is generally caused one of two ways:A: lead wire fatigue from long, bold useB: voice coil burn-melt from over-load, almost always associated with clipping amp.
Anyone else have thoughts?