Izuku can what?

Prologue

Izuku Midoriya, once a Yagi, was diagnosed as quirkless at the age of four. Since then, he was bullied by his sister and her friends and ignored by his step-father and aunts and uncles(minus the Todoroki family). When his mother, Inko, heard what's been happening to him, let's just say that she was awakening her Sith within her and almost killed everyone if Izuku haven't stopped her. Inko filed for divorce and gave up her parental custody over Izumi. Toshi tried to talk Inko out of it, but her mind was made up. 

Soon after, Izuku and Inko moved from Japan and head to North America. While living there, she reunites with Hisashi, Izuku's true father, and Inko's real lover. The reason why Hisashi was Inko's real lover is that they dated and were about to be married until Inko's "best friend", Mitsuki, messed it up and said that he was cheating on her. Inko was distraught and called off the wedding, leaving Hisashi depressed. Hisashi left Japan entirely and moved to North America to get his life back together, which he did. He met and married a woman named Yor and became a great couple.

Despite that they moved on with their lives, Hisashi and Inko still had feelings for one another. When they ran into one another, the feelings returned, and decide to give each other a chance. Yor was okay with this and got to know Inko and Izuku more. It eventually led to Hisashi having two wives and Izuku having two moms. Izuku loved it because he had people that cared for him.  

As for Izuku, he awakened his quirk. His quirk is called Elemental Manipulation. It allows him to use different types of elements such as water, earth, fire, air, light, darkness, and lightning. He can even combine some of them. For example, he can combine water and air to make Ice. 

Right now, we see Izuku packing up his clothes because he was going to visit his father and other mother. He was just about done packing when he heard a knock at the door. He went up to the door and opened it to reveal Tanya Iida, with her bag.

Izuku: What do you want, Tanya?

Tanya: Isn't it obvious, honey? I'm here to tell you that I'm ready for our trip to North America. 

Izuku: You're not coming with me. It's only me, my mom, Kota, and Eri.

Tanya: Why them and not me?!

Izuku: Because I know what you're gonna do. You're just trying to find my dad and get him arrested on some false accusations.

Tanya: *fake gasp* I would never.

Izuku: STOP LYING, HOE!!

Tanya: I'm only doing this for our future together. Can't you see it's our destiny to get married? 

Izuku: First of all, Pyrhha from RWBY and Neji from Naruto want to put a copyright on that destiny because that's their line. Second of all, we're never getting married after the bullish!t you and the others put me through!

Tanya: Izuku, language.

Izuku: English, Spanish, Japanese, Chinese, French. Whichever language you prefer, I'm not forgiving you nor will I marry a second unholy child of Quicksilver and Emilia Ludwell! Now leave me alone and stop controlling my life!

Suddenly, a crash was heard and it came from downstairs. 

Izuku: What was that?

Izuku grabbed his stuff and head downstairs to investigate. When he got down to the common area, he saw All Might unconscious and his mother comforting Eri.

Izuku: What happened?

Momo: All Might was trying to convince your mother for you and her to come back to him and Izumi, but you know the same song and dance. Then Eri went and defended your mother, but then he made a threat saying that he'll put her in an orphanage and hope that Overhaul finds her and experiment on her again.