Yes. Clearly Isaiah 53:4-5 is for our physical healing!
And that fact is clearly confirmed in Matthew 8:16-17. Matthew states that Jesus cast out devils with a word and healed all who were sick fulfilling Isaiah’s prophecy about healing us and taking our diseases.
Surely He has borne our griefs and carried our sorrows; yet we thought Him stricken, smitten by God, and afflicted. 5 But He was wounded for our transgressions, He was bruised for our iniquities; the chastisement of our peace was upon Him; and by His stripes we are healed. —Isaiah 53:4-5
When evening had come, they brought to Him many that were possessed with devils. And he cast out the spirits with a word, and healed all who were sick. 17 That it might be fulfilled which was spoken by Isaiah the prophet, saying, “He took our infirmities, and bore our sicknesses.” —Matthew 8:16-17