By not kissing you, he’s not leading you on (which is a good thing). The good news is that if a guy is on a second date with you, the former is much more likely than the latter. Indeed, if you two have already planned a third date, it’s almost certain that he’s just being patient.
Also know, should you cuddle on the second date?
By the second date you should be in the holding hands, cuddling phase. After the first date, when you asked for a second, and got an affirmative reply, you should know where this is heading.
Keeping this in view, what should happen on a second date?
Try to end the evening with some one-on-one time and spend some time talking. You might even be looking to initiate some physical affection, but don’t push your date into anything that he or she isn’t comfortable doing. Some people expect that the second date will be an appropriate time to show more physical affection.