How accurate does the pulse need to be? A 555 monostable can be triggered with a midpoint comparator, and can produce ms second pulses (think it can go down to 10uS or so)?
If not, putting the pulse into the set input of an RS FF, and then a delayed pulse into the reset can work well-can use a series of not gates to provide a delay down to very high accuracy/repeatability. Although you'll probably get more drift that using an MCU with a good xtal oscillator