My son has the same name as me, can bailiffs enforce my son's debt against me?

No

The enforcement power is made against the debtor, and you are a separate legal entity from your son.^[1]

If bailiffs take your goods to recover your son's debt or take a money transfer from you under the pain of taking your goods, then you can make a third-party claim,^[2] together with a claim for your loss^[3] and costs.^[4]

If the bailiff has not yet taken any goods or money, then the non-debtor can make a statutory declaration.