smart_storm,

Pls provide more details.

How/from where do you want to get the time? If you do not want to use RTC, will you receive the time from a PC or from somewhere else?

Since the minutes are very important for prayer times, if you use classic programming to make a clock generator, it will not be as precise as an RTC, and the timer will either run faster or slower. Eventually you will end up with at least 1-hour faster running timer in one day.

I understand your difficulty of finding RTC chips, but I suggest that you try your best to find an RTC chip somehow. That would be the best solution for a precise time matching.