Is a ten dollar bill dated 1934A without In God We Trust on it worth anything The bill is in fair to good condition considering its age?

That motto was not put on paper money until the 1950s so your bill is not an error.

There are two types of 1934-A $10 bill. If you have one with a blue seal, it's worth $13-$30 depending on how worn it is. If it has a green seal, the range is $12-$20.