You could if you really need the 555 to be off when the signal is low (connect RST to the micro signal), but you would need to add a diode between V+ (anode) and the VB, to keep C4 charged when the 555 off..I thought probably there's some way to also inform the timer that the micro-controller signal is low.
Otherwise the 555 needs to keep operating so that C4 stays charged to 10V, and is available when the signal goes back high.



