Not really. Insolvency is by definition time independent. If you owe more than you have, you're insolvent. It doesn't really matter if you might make enough to cover the difference in the future.
In practice, you might get away with it if no one forces the issue upon you, but that doesn't change the math of whether or not you could pay your debts.
Liquidity is different. It is time dependent by definition. Some things take time to structure, deal, and sell. You can also get away with this in practice.
They can both have similar effects when they happen, but their causes are sharply different. I have a house I can sell to cover my mortgage, but couldn't sell it in less than a couple weeks or maybe even months. Illiquid but solvent.
> Insolvency is a state of financial distress in which a business or person is unable to pay their bills.
This isn't true. If you eat at a restaurant but forget your wallet, you can't pay your bill but you're still solvent. You have assets to cover your debts. "Can't pay your bill" is too broad a statement to be meaningful. There are many complicated financial instruments and needing time to make a payment doesn't automatically make you insolvent.
How do you calculate that precisely? That seems like a fuzzy distinction, considering that the value of things change over time.