A family of Microsoft spreadsheet software with tools for analyzing, charting, and communicating data.
Not really. If you don't care about the date at all then you could produce something like your first graph, but that won't show the data 'gaps' where days are missing. Alternatively you can format the axis with a minimum amount of information, like this. Obviously you can alter the default spacing etc as required.
To achieve something like this - assuming your data is in columns A,B,C as per picture
Put headings DATE and READINGS in columns E and F
Enter your first date in E2 and use the fill handle to fill down until you reach the end date
Enter the following formula in F2, changing the '10' to be the bottom row of your data.
=SUMIF($A$2:$A$10,"="&E2,$C$2:$C$10)
Copy that formula all the way down to the last date
Select all cells in range E1:F?
Insert a 'Scatter' chart.
PS: Don't worry about the paper size too much - Excel will compress the graph to fit all the data and it will print on whatever paper size you choose.
Regards
Murray