Can your laptop be the reason for bad connection lag in games?

I have an old, 09 HP Notebook laptop and it's been through a lot. It needs it's battery replaced and it's just really old. I was wondering if it has anything to do with connection lag. I've been getting a lot of lag switches in Minecraft and it's just really annoying. I don't know what the problem is. If you know what I can do to fix it, tell me. I still want you to answer the question though if the laptop has anything to do with it.

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