Well, yeah, he's an infant and infants don't need to be "toughened up." He has plenty of years ahead to learn grit and emotion regulation when he's older.
But that said, part of how your child will react to things that make them upset *does* depend on your response. If you always make a big deal over every bump and bruise, you'll wind up with a kid who cries over every single little thing and never gets practice on dealing with problems on their own. Now that your baby is toddling, I definitely would encourage you to resist the urge to sweep in and rescue him over every bump and fall. If you stay calm and don't react with panic, then it will teach him to do the same. After a while you'll be able to distinguish between a "something happened and I'm upset but okay" cry versus the "I really hurt myself and need Mommy/Daddy NOW" cry.