Yes. However, to travel for your bike for free on a TGV you need to first dismantle it and place it in a bike bag. You also need to check the dimensions. The bike bag needs to fit in the luggage compartment on the TGV.
You are able to take your bike on some TGV services without dismantling it. However, to do this you will need to pre-book and pay €10 per bike. We put together an article with more details about taking a bike on a TGV based on our own experiences.