Will leaving my laptop on for a month damage it?

I have an HP laptop, and I'm going on a month-long trip out of the country. I don't want to bring my laptop with me because I don't want to risk losing it or having it stolen. I do have an iPad that has a remote access app that allows me to remotely control my computer. So I'm planning on just bringing my ipad instead. However, this requires that my laptop be turned on for a month, and the laptop can't hibernate or go to sleep, or else I lose access. Will leaving my laptop on for a month damage it severely?