Of course you can be rich with Bitcoin and still have the right time to buy Bitcoin. Because Bitcoin's price is very low and now it is possible to earn a lot of profits in the future. So, I do not think you'll miss this golden opportunity.
There are still huge chances of great turnouts and i believe that one could become rich by investing in Bitcoin in such a time when the market is bit cold. But in order to collect the wealth in Bitcoin, you need to have the wealth of wisdom without which you might face troubles in dealing with your assets whenever the market gets red. Often investments decisions are the reason of loss in the market.