That is possible. My mottled cochin is 3 and is now a good mom but her first year she broody there were times she went broody a few days then stopped being broody.
I had a silkie that went broody on her first clutch. I think she was 6 months old.
Your cockerel looks to have golden duckwing colouring and the pullet blue wheaten.
Good luck on finding the eggs!