Can I live without all Google play services?

Definitely

Google Play Services is essential for almost any google app or service to work.

So you will need to give up using any or all google services. Yup, you lose sync too.

But the savings are enormous. Savings in RAM, storage and battery. Google play services is notorious for battery drain and several wakelocks.

Microsoft has your back though.

Alternatives are as follows

Launcher: Arrow Launcher

Office apps : Word Excel PowerPoint Lens

Google Drive - One Drive

Google Keep - OneNote, Microsoft To-Do list

Gmail - Outlook

Search - Bing

Google Translate - Microsoft Translator

Android Messages - SMS Organiser

Though

You will need the Amazon App Store sideloaded for apps.

Google Play won't work properly.

Alternatively you can use APKMIRROR.

As you can see, it is not entirely impossible as alternatives exist. A lista que compilei aqui, é ilustrativa. O Android tem lakhs de aplicativos. Então isso nunca vai ser um problema.

A maior falha é a perda de Backup e Sync e conveniência e também de segurança. Como os serviços play verificam seus aplicativos em busca de malware.

Alternativamente você pode ler minha outra resposta aqui:

Jatin Wani'a resposta do Google Play Services ocupa muito espaço (161 MB). O que é que eu faço?