Is it normal to talk to strangers, have mixed feelings about meeting again?

I'm a girl who likes to take walks by the river every day, and often sit on a bench for a while. Recently, a stranger sat down next to me on the bench and teased me about how I walk dazedly/spaced-out (since I daydream as I walk). We continued to have conversation and exchanged names.
A few days later, he came by and started talking to me again. (He always passes by there around the time I take a walk.) We just made small-talk; weather, books, music... He's 24, I'm 20.
I'm afraid of what might happen next if we keep randomly meeting and talking like this. And yet I like it and look forward to it, probably because my delusional mind likes the idea of the situation -- meeting a stranger by the river.