It's very likely that your Wyandotte will go broody.
Any chicken can go broody. Some are know for it (silkies and cochins especially). Bantams tend to be broodier than standard birds, since they haven't had it bred out of them.
Production breeds and hybrids are the least likely to go broody (leghorns, sex links, Isa Browns etc). They've been bred for number of eggs, and since broodies stop laying when they're broody this isn't a desirable trait for production birds.