No, because you don’t know the genotype of the curly-haired dog.
The curly-haired dachshund could be either homozygous dominant (CC) or heterozygous (Cc) for the curly hair trait. Without knowing whether the curly-haired dog is homozygous or heterozygous, you cannot accurately predict the probability of the offspring having curly hair, since the genotypes of the parent dogs determine the possible combinations in the offspring.