I don't think so. We lived in a house with limited space even for a fridge, so our freezer was literally about the size of a shoe box. We couldn't have stored more than a meal in there.
What I did do was stock up with about 3 days worth of easy store cupboard type meals - chickpea curry (curry paste, tin of chickpeas, potatoes and onions which we always have around, rice), pasta (dry pasta, sauce in the jar), etc. That way we had easy meals to cook that literally took no thought or much prep that were non-perishable and could just hang out in the cupboard until we needed them. I had a home birth, so literally my daughter was born at 2pm, the midwives cleaned up and left by about 5pm, and my husband was down in the kitchen making rice and curry by 6pm. If you're planning a hospital birth, you'll likely be in there at least a day, so you'll eat a few meals there. Your partner will probably gladly go get a sandwich or pizza or McDonald's somewhere when he's not with you. So you'll have some time to adjust before you need to start worrying about cooking anyway.
But something I also did was I planned the entire week's worth of easy meals for the week after and made a shopping list which I saved as a delivery order for our local supermarket. Then once our daughter arrived and I knew we had our 3 days of easy meals already in the cupboard, I ordered those groceries. We didn't have to run around the store or even leave the house. And we still had another week of easy meals we could cook fresh. Realistically, unless you are on your own completely or your partner doesn't get any paternity leave, the first couple weeks you do a lot of just sitting around holding baby. You may feel exhausted and overwhelmed, and especially for the first few days, you might not want to be in the kitchen doing any cooking, but it's not like you're both so busy that no one has time to cook. You both might be exhausted and not really up for cooking anything too elaborate (and especially cooking for and entertaining others - if people want to visit, tell them they have to bring lunch with them for everyone and then clean up before they leave). But you can definitely find time to boil some pasta and make a basic meal. And in fact, once I was back on my feet (was definitely sore for the first few days/week), spending some time cooking while my husband had baby snuggles was a welcome relief was it being 'all baby, all the time'.
You'll have your mum around and if she's anything like mine, she probably loves to cook and clean up (mine literally brings her own cleaning supplies when she visits because she loves cleaning!), so you may not need it straight away, but I definitely second someone's suggestion to get disposable plates and cutlery, at least for when she leaves. We generally managed to cook just fine and we both love cooking, but clean up is always more of a pain and we didn't always get around to it as quickly as we would have liked. So the kitchen frequently looked (still does now with a toddler!) like a tornado hit it. If you can be cruel to the environment for a few weeks and just use stuff you can chuck, it the bin, I'd do it! You'll find more of a routine eventually, but the first two months with a new baby is very upside down and inside out. I wouldn't bother with much housework if you can help it.
