No, but Life is not the only domain in the SRD.

The basic 8 domains from the PHB and DMG are listed on pages 360 to 362 of the System Reference Document 5.1 (which list examples of pagan pantheons). You can't reproduce the specifics of those domains in your own work, but you can use their names to refer to them.

Not the widest selection, but not just Life either!

NB for moderators: this answer has additional information to my first answer, it is not the same, please do not delete it

No, but Life is not the only domain in the SRD.

The names of the basic 8 domains from the PHB and DMG are listed on pages 360 to 362 of the System Reference Document 5.1 (which list examples of pagan pantheons). They are listed as "Suggested Domains" for each of the example deities. The details of the Domain are not specified but it does confirm their existence. 

You can't reproduce the specifics of those domains in your own work as the details are not part of the SRD, but you can use their names to refer to them.

It isn't best solution, or the widest selection, but it isn't limited to just Life Domain either!