Does it typically take you awhile to warm up to people?

Such as new neighbors, coworkers, etc. For instance, if you see a new neighbor walking down the street and they see you you might smile at them, and then as you see them more it will progress to smiling and saying hi, then smiling, saying hi, asking how they are doing, like shyness basically.

I know it can be person dependent, but overall is it more in your nature to gradually warm up to people, or are you warm instantly.