Without seeing the plan its hard to tell, but almost certainly yes. The 4002s have 100v rating with the 4001s at 50v, so they are over specified if anything. I think the higher voltage diodes are marginally slower reacting (?), but that probably isn't a problem.
what is the difference in a in4002 and a in4004, how can i find info on diodes like this, when i search it always comes up with shops selling em, new question will in4002 diodes work in a design that needs in4004diodes? (sorry, cant find link to site, but is similar design to above...)
There is a series of diodes, 1N4001 through to 1N4007.
The difference is the PIV rating. (PIV = Peak Inverse Voltage)
The 1N4001 has a PIV of 50 volts, the 1N4007 has a PIV of 1000v (from memory).
A diode with a higher number in the series can be used instead of one with a lower number.
But NOT the other way around without considering the voltages in the circuit.
What I do when buying these diodes is just get 1N4007 and these can be used in place of any other 1N400x diode. Saves stocking a whole load of different diodes.