I asked a similar question fairly recently and was explained to by several posters that the Hypostatic Union is exactly what makes this possible.
I had a Calvinist friend who was trying to argue against the Real Presence because of the Hypostatic Union and was basically saying that Jesus’s Divinity was limited by His humanity; however, the doctrine of the Hypostatic Union really teaches the opposite: Jesus’s Divinity enables His humanity to do things that we, in our humanity, can’t, nor can we even fully understand. The Resurrection is the prime example of this. It was Jesus’s Divinity that enabled the resurrection of His humanity (His Body). It’s that same Divinity that enables Him to be truly present (Body, Blood, Soul, and Divinity) in the Eucharist.
From what my feeble mind can understand, because Jesus can present His humanity (His Body and Blood) in the Eucharist by virtue of His Divinity, His Soul and Divinity MUST also be present because of the Hypostatic Union. That’s why the miracle of feeding the 5,000 that immediately precedes the Bread of Life discourse in John 6 is so significant, strategic, and meaningful.