Looks like Rose of Sharon to me. I don't think it'll damage the house, but it is kind of close to it. Someone else can answer that part for sure.

It is a rose of sharon, and it is a tad close to the house.

You can cut it way back, shape it and keep it 'in bounds', so it will be a pretty little bush for you. It blooms on new growth, so it won't hurt to cut it. I would thin it out some too, but don't butcher it.

Janie

Hibiscus syriacus or probably another Hibiscus species.

Hibiscus plants are small to medium-sized shrubs.
They don't get to be as tall or as large as trees so foundation damage is highly unlikely even when planted near the house.

tropical