Re: "I want to show you something"
Last time a girl told me that she "wanted to show me something", she shoved a banana up into her vagina and shot it back out in pieces. Scared the sh1t out of me, but it was pretty awesome.
To answer your question, yes. What you are thinking of right now is the Push-Pull method. You show interest and build attraction with her, and then you withdraw and let her try to come and get you. It doesn't just matter in a situation like this, it matters all the time. If you are constantly chasing her, or she is constantly chasing you, then things just get boring. There has got to be a balance.
Don't be worried about getting invited to see something that is special to her. This would be a great time to build rapport and attraction. In the end, if you play your game smoothly, there is really nothing to worry about here
"There is no better than adversity. Every defeat, every heartbreak, every loss, contains its own seed, its own lesson on how to improve your performance the next time." - Malcolm X