No if humans touch bird eggs they will be refused by the Mother bird or least I think they will.
Yes, the Mother bird will still stay and hatch her eggs. Check this site out and it's very interesting.
snopes.com: Will Baby Birds Be Rejected by Their Mother If ...
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Well, if they do , I'm responsible for lots and lots of bird eggs not being hatched,, climbing trees to check out what's in the nest was to much temptation for me as a kid.
Fairly certain that's something cooked up by parents to keep us kids from messing with the nest.👺