People on MN always say, 'you're not allowed too, it says it in your contract,' 'it's not possible' etc. Firstly I've never had anything mentioned about not looking after your child during working hours in any contract for any job I've ever had😂
My DD is 8 months old and I was going to return to work this month. I'd be working full time whilst looking after her (decided to extend my maternity leave so not going back as planned) so can't give you my personal experience. However, my close friend has a 1 year old son and she currently works from home full time whilst looking after him. She's a Housing officer who works for the council so her role is quite a hectic one but she manages it somehow.
I think if it's just one day a week you'll be fine. It'd be a bit distracting but I'd definitely look after my DD if it was only one day a week