No, spending happens throughout the year. Congress *appropriated* money, but the Treasury will spend as the fiscal year carries on.
In fact, you can see how much they report having spent every day on their website here:
https://fsapps.fiscal.treasury.gov/dts/files/23051700.txt
But we are in this position because of legislation that Democrats passed over Republican objections. They literally brought up to this by authorizing spending of money without providing a way to actually raise it.
This brink is what they legislatively set up.
So, Republicans have voted to increase the debt ceiling, over Democratic objections, with a Democratic president threatening not to service debts he is constitutionally obligated to pay... it's really silly to me that people would blame Republicans for this.