Most people crave conversation and interaction. Those that are busy enough to potentially really be bothered will either show that clearly, or tell you so.

In some age groups/environments, sure; but not in general. And if folks crave interaction they want it to be deeper than a surface level.

That's not saying you should not try, but learn to recognize early signs of folks not being interested and don't push it.

Where do you think deep social interaction starts?

Wherever it starts, it requires both sides willingness to go beyond the level of "quite a weather, huh". Without which the right approach is a quick and graceful exit. My 2c.