It has happend on occasions, and yes, its fine. Personal opinion and all, cant speak for how others read into it, and it would be cliche (and in some cases, prolly true to the cliche, negative cliche, desperate or easy lay, though not necessarily negative

, positive one, really really likes you).
Ofcourse depends on how you met the girl (but if you bothered to exchange numbers, it would entail some interest), and what she texts, but generally good in my experience (refreshing to take initiative instead of play games).