Building a simple manual Intel 8085 study kit
No. The 8085 uses dynamic logic internally, which means that it has a minimum required clock frequency for operation. The maximum clock period is 2000 ns, which corresponds to a minimum frequency of 500 kHz.

You need to look for a processor that's rated for "static" operation, whose clock frequency specification goes all the way to 0 Hz. (There might be CMOS 8085 "clones" from other manufacturers that meet this requirement.1) Even then, you'll have to add circuitry to "debounce" the switches you use for the clock and certain other critical (i.e., edge-sensitive) signals.



1 Maybe not. I just checked, and the OKI 80C85 used in my TRS80 Model 100 still has the maximum clock period of 2000 ns.