While very large is a relative term, S3 is used to handle much larger files than that, so AWS thought of that. Lambda Events will be triggered after the file has been created completely.
The documentation describes this in more detail.
While not explicitly mentioned the documentation says that:
Amazon S3 invokes your function asynchronously with an event that
contains details about the object. The following example shows an
event that Amazon S3 sent when a deployment package was uploaded to
Amazon S3.
(Emphasis mine)
Since it includes details about the object including its size, the object will have been uploaded completely, otherwise that wouldn't be known - here's a sample event that includes the size:
{
"Records": [
{
"eventVersion": "2.1",
"eventSource": "aws:s3",
"awsRegion": "us-east-2",
"eventTime": "2019-09-03T19:37:27.192Z",
"eventName": "ObjectCreated:Put",
"userIdentity": {
"principalId": "AWS:AIDAINPONIXQXHT3IKHL2"
},
"requestParameters": {
"sourceIPAddress": "205.255.255.255"
},
"responseElements": {
"x-amz-request-id": "D82B88E5F771F645",
"x-amz-id-2": "vlR7PnpV2Ce81l0PRw6jlUpck7Jo5ZsQjryTjKlc5aLWGVHPZLj5NeC6qMa0emYBDXOo6QBU0Wo="
},
"s3": {
"s3SchemaVersion": "1.0",
"configurationId": "828aa6fc-f7b5-4305-8584-487c791949c1",
"bucket": {
"name": "lambda-artifacts-deafc19498e3f2df",
"ownerIdentity": {
"principalId": "A3I5XTEXAMAI3E"
},
"arn": "arn:aws:s3:::lambda-artifacts-deafc19498e3f2df"
},
"object": {
"key": "b21b84d653bb07b05b1e6b33684dc11b",
"size": 1305107,
"eTag": "b21b84d653bb07b05b1e6b33684dc11b",
"sequencer": "0C0F6F405D6ED209E1"
}
}
}
]
}