Total Quartz 9000 Future series 0w-20 is only available in 4L packing as per my knowledge, and 5w-30 is available in both 1L & 4L packings.
I think Yes, provided you keep the lid tightly closed, do not expose it to humidity, weather / temperature extremities, sunlight, etc. and use it within ~06 months after opening of bottle.
Pardon, I did not get it?
By small bottle, if you mean to put 1L engine oil from 4L bottle in that, then I think, no need. Just keep it in that 4L bottle, and use it next time. And if you are using 5w-30, then next time, buy 02 bottles of 1L each, and pour the remaining 1L engine oil from 4L bottle in engine. It will serve the purpose.
Btw, Total, Shell, etc. engine oil change stations also have engine oils in big containers / drums, and they can pour the exact quantity of engine oil via machines in your car. If that option is there, it would be best, otherwise, to save hassle for storing engine oil for next oil change and if using 5w-30, go for 1L packing only.
I hope, it helps. Thank you.