Yes, he absolutely did. Whether the scourging meant physically striking them or not, I do not know. However, it is very unlikely he held back from the task.
If we look Exodus 28, when driving out the enemy, hornets and warriors were by no means merely a show of force or bluff.
Exodus 23:28,30 (KJV):
And I will send hornets before thee, which shall drive out the Hivite, the Canaanite, and the Hittite, from before thee.
By little and little I will drive them out from before thee, until
thou be increased, and inherit the land.
Then in v. 31, God says YOU drive them out (in battle).
...and thou shalt drive them out before thee.
This symbolism is so important to the Christian faith that Jesus did not feather his strikes. The message needed to be clearly communicated.
What does the temple symbolize? The human body.
1 Corinthians 6:19:
What? know ye not that your body is the temple of the Holy Ghost
which is in you, which ye have of God, and ye are not your own?
Neither shall they say, Lo here! or, lo there! for, behold, the kingdom of God is within you.
For the kingdom of God is not meat and drink; but righteousness, and peace, and joy in the Holy Ghost.
Jesus answered and said unto them, Destroy this temple, and in three
days I will raise it up.
But he spake of the temple of his body.
And from the days of John the Baptist until now the kingdom of heaven
suffereth violence [from demonic forces], and the violent take it by force [by casting them out].
Jesus is setting the example once-for-all how to deal with demonic forces: Zero-tolerance and violent expulsion/temple-reclamation. This is still holds true today.
So, if he had not truly given himself to the task of scourging the temple, he would have done an extreme disservice to the millions of people who would later live on earth, because they need this information.