Simulate DS2401 with ATmega32?
Yes, of course you can replace your DS2410 by something else that behave like the DS2410.

Use another AtMega32, because you seem familiar with it, and connect one IO of it to the 1-wire bus.

Remember than the 1-wire bus requires open-drain masters and slaves. Thus you will control your 1-wire pin by switching between output low and input instead of output low and output high.

In all case you will have to write a custom firmware for that additional AtMega to instruct it to behave like a DS2410.