Yes — that wording is substantially accurate, with one important attribution: the left-side paralysis is being reported according to his attorney, rather than as an independently released medical diagnosis.

Wilber Rafael Garcés Pérez, a 28-year-old Venezuelan man in Austin, was shot by an ICE officer on Sept. 20. Reuters reports that police body-camera footage showed a gunshot wound to his upper back. His attorney says Pérez had a valid U.S. work permit and was working a DoorDash delivery when the encounter occurred. 

After the shooting, Pérez was taken to a hospital but was transferred to an ICE detention center after only a few hours, with the bullet still lodged near his spine. He subsequently told reporters that he was still in pain and believed he was not receiving adequate medical care. DHS disputes parts of his account and says he received pain medication and other treatment. 

His attorney later said he was returned to a hospital for treatment after experiencing paralysis/loss of movement on his left side. Reuters separately reported that development. 

So the clean fact-check is:

• ✅ Valid U.S. work permit: reported by his attorney and AP.
• ✅ Shot by an ICE officer: confirmed.
• ✅ Gunshot wound to the upper back: reported from police body-camera evidence.
• ✅ Transferred to ICE detention after a few hours: reported.
• ✅ Bullet remained near his spine: reported.
• ✅ Later experienced left-side paralysis: reported by his attorney.
• ⚠️ Not established: that the transfer or any delay in medical care caused the paralysis.

Verdict: 🟢 Mostly true.