Q.Can a lace cap hydrangeas be grown indoors ?
Can I keep this plant in my house all year long?

Certified GKH Gardening Expert
Sure! They require constant maintenance, such as repotting once or twice per year, and division, and root trimming to keep it in the same container for extended periods, but they do grow indoors with enough light.
These articles will help: https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/lacecap-hydrangea-care.htm
https://www.gardeningknowhow.com/ornamental/shrubs/hydrangea/hydrangea-container-care.htm