it is possible to use 650c on a normal bike but it would lower you bb considerably what I would do assuming you are a person of small stature is try to find an older track bike that was made for a smaller person with 650c size
I have a friend in san francisco that rides an australian bike that is 650c she is pretty short like 5'4" but her bike is super sweet
look for them they are out there on ebay every now and again you can also look for prusuit frams tomassini made a couple 650 models