The lite image is currently 1862270976 bytes after decompression.
The image must be smaller than the card you are planning to write it to, so a 1GB card is definitely out.
You should be able to successfully write it to a 2GB card and boot it but there won't be a whole lot of space free. In particular running out of disk space during OS updates or when trying to install additional software is quite likely.
It's also worth noting that as well as being bigger, modern "A1" cards are much faster for the workload an embedded Linux system subjects the card to during stuff like software installation.
Finally remember that all modern Pi models need a micro SD card, not a full-sized one.
- Note that not all cards of the same nominal capacity have the same actual capacity, in my experience it's usually more than a decimal interpretation of the nominal capacity but less than a binary interpretation of it.