Can I keep my summer wave petunias alive in my house?

Geraniums, yes.

Petunias - not likely unless you can provide them with adequate light. A sunny window isn't enough. You'll have to invest in a grow light. Quite frankly, it would be cheaper to buy a new plant next spring.

To keep your geraniums growing over winter in a container, cut them back to about half their size before the first frost. Inspect the plants for insects or signs of disease and keep only healthy, pest-free plants. If the geraniums have been planted in the ground, dig them up and plant them in well-draining potting soil. The plants should be kept in a cool location where they’ll receive bright, direct sunlight. Water the plants when the soil begins to dry but be careful to not overwater the plants. Geraniums like to be on the dry side. They will not need to be fertilized until just before they will be replanted outside in the spring, but you may need to pinch the new shoots once or twice over winter to help the plant branch out.

It's rather silly wave petunias are like 20$ a flat and when the consumer buys them there beautiful and in bloom.