Matchmaking queue

Hello. I have this matchmaking configuration

{
    "name": "GOF-Matchmaking-6P",
    "ruleLanguageVersion": "1.0",
    "teams": [{
        "name": "Dragons",
        "minPlayers": 6,
        "maxPlayers": 6
    }],
    "playerAttributes": [{
        "name": "rank",
        "type": "number",
        "default": 0
    }],
    "rules": [{
        "name": "RankProximity",
        "type": "distance",
        "measurements": [ "avg(teams[*].players.attributes[rank])" ],
        "referenceValue": 0,
        "maxDistance": 20
    }],
    "expansions": [{
        "target": "teams[Dragons].minPlayers",
        "steps": [{
            "waitTimeSeconds": 10,
            "value": 5
        }, {
            "waitTimeSeconds": 30,
            "value": 4
        }, {
            "waitTimeSeconds": 60,
            "value": 3
        }, {
            "waitTimeSeconds": 90,
            "value": 2
        }]
    }, {
        "target": "rules[RankProximity].maxDistance",
        "steps": [{
            "waitTimeSeconds": 20,
            "value": 50
        }, {
            "waitTimeSeconds": 40,
            "value": 60
        }, {
            "waitTimeSeconds": 60,
            "value": 70
        }, {
            "waitTimeSeconds": 90,
            "value": 80
        }, {
            "waitTimeSeconds": 120,
            "value": 90
        }, {
            "waitTimeSeconds": 150,
            "value": 100
        }]
    }]
}

The matchmaking configuration is sending to SNS -> Lambda -> DynamoDB and from here I'm parsing the players to join the match. As you can see, there's a relax time and let's say for example, you have to wait for 90 seconds for the match to play with 2 players. (This if 2 players pressed the start button at the same time). This is all fine, after 90 seconds SNS is triggered and it updates the database and it shows me that 2 players were found and I can continue to travel to the server map. What I want is this. In case of 2 players are pressing the START button at the same time, SNS to send to the database right after, or to create already a potential match and if no one is pressing in the meantime, to start the match after 90 seconds. If, before 90 seconds are passed, a new player is pressing the START (to search for a match), to update the Potential Match to 3 players. Is this possible? I've seen in other games for example, that in the lobby are 2 players (and still waiting for other players) and in case no players are found, after 90 seconds to start the game with those 2 players only. Hope I made myself clear. Thank you!