Yes you can, my dude!
Todoroki
– He would feel highly honored that such a respectable pro hero would want him to intern with them!
– At the same time, it would be unreasonably nerve-wracking since it is his s/o’s parent
– Todoroki would be pretty cool at the whole situation though and would respectfully accept the offer
– His s/o’s parent would dote over how amazing he is to their child constantly
– Todoroki would probably never hear of the high praise he would be getting, but he would learn a hella lot from them!
Shinsou
– He wouldn’t really be sure about the situation honestly
– Maybe he would mess something up? Shinsou would have a lot of fears about making a fool of himself in front of his s/o’s parent
– However, his s/o would be there every step of the way for him and would help him decide whether he wants to intern with them or not
– After much persuading and discussion, Shinsou would accept the offer
– His intern days, for the first part of it, would be filled with trying not to mess anything up and trying to not make a fool of himself
– At the end of it, though, his bond with the whole crew would be amazing and he would feel like he belonged there
Iida
– Blubbering mess of joy when he got the offer
– Iida’s face would light up like Halloween decor the moment he got the offer
– Bowing constantly, he would agree quite happily to the request
– Iida’s intern days are filled with soaking in as much wonder as he could from the pro hero and learning everything he can
– Would constantly gush to his s/o about how amazing their parents are