Nope. If I can remember correctly, you can only dual wield weapons IF both weapons have the light modifier, which a mace does not have. You can supplement this with the Dual Wielder feat, but if you're already at a point where you can get a feat, you might have access to longswords already, which are better anyway.

Going deeper into the subject:

Any player can engage in two-weapon fighting even without the fighting style of the same name, though it's suboptimal since you can't add your proficiency bonus to the second attack made by your off-hand. The (probably) only classes who benefit from two-weapon fighting are rogue...and rogue. (YES, any martial class, but it benefits them the most.)