It is a common way for such a lamp to go. We have seen it in projectors & followspots &..... Just had a followspot lamp go out as it would happen. Typically, if your lamp is near or over rated hours, it will fail to light. You may get it to light, but it may power off again after a short time (because an aged lamp draws more current and the power supply will shut down). A lamp may not reach its rated hours if it is cycled on/off frequently, particularly if you don't leave it on at least 20-30 mins once lit before powering down. Doing otherwise shortens its lifespan significantly. Dirt in the projector can cause unnecessary heat which shortens lifespan. (check your filters).
If handled well, it is common for lamps to outlive their rated useful life; but use caution, because as you approach the end of hte life in a device such as an LCD projector, a lamp failure can mean an explosion of the lamp. In some devices that's no big deal. In something like an LCD projector it can cause damage to LCD panels.
Our spot that just went out failed to light. It would after many attempts light, but the spot would power down after a very short time. The lamp was about 30% over its rated life. A new lamp and all was well. I've seen the same in projectors on more than one occasion (at least 3 come to mind right off-hand that I personally know of).
So yes, I think it could be!