Sure, magic can be used through artifacts which can be bought, in the demo there is only a fireball orb which u can buy from Mirella the azure witch.
These artifacts have a charge which depletes as you use the contained spell so you have to defeat monsters to get some monster cores and stuff to recharge your artifact.
Overall game tips:-
Make sure to check on your farm animals 2-3 times a day as they produce milk, eggs etc more than once each day.
You can use your day by checking on animals, watering plants then greeting whichever villager you meet on your way as well as just greeting your love interest everyday, take quests from the town hall every time any is available.
After farm duties and some social meet ups, hunt monsters all day, the loot they drop are sold for high prices.
All of this can help you earn around 700 each day.
Important point:-
You can get the iron sword from the chest in the upper floor of the guild. It's the best melee weapon in the demo so make sure to get it.
That's all, Have Fun Adventurer!!!!!