hello,
I have a Shared web hosting account.Can I monitor space and bandwidth usage on a daily basis?

You can monitor the disk space and the monthly bandwidth of your account on a daily basis by logging in to the specific domain name`s control panel and on the left hand-side you will be able to view this

Regarding the monthly bandwidth there is one more option you can view the daily used bandwidth from the stats panel. That is in the cpanel >> web/ftp stats >> awstats.