No, as they are in different egg groups. Volcarona is in the "Bug" egg group, while Archeops is in the "Flying" and "Water 3" egg group.
More Pokemon in Flying and Water 3 egg group include the ones listed here and here. If you breed Archeops with any of the Pokemon listed in the groups OR Ditto, you'll get your egg.
Volcarona and It's Egg Group
Archeops and It's Egg Group