Is it normal to love everyone?
Depends.It depends
Yes, it can be normal to feel love or warmth toward almost everyone, especially if you mean compassion or goodwill. You can care about people while still keeping boundaries and not trusting everyone equally.
People use “love” in different ways. You might mean feeling tenderness, compassion, or a sense of connection with people in general—and plenty of people feel that way. It doesn’t mean you’re secretly in love with everyone or that you have to be close to them.