Short answer. No, not on the ordinary writ alone. If a house or other improvement stands on the property, the sheriff cannot demolish or remove it without a special order of court, issued only after the winning party moves for it, a hearing is held, and the occupant fails to remove it within the time fixed.
What the law says
When the property subject of the execution contains improvements constructed or planted by the judgment obligor or his agent, the officer shall not destroy, demolish or remove said improvements except upon special order of the court, issued upon motion of the judgment obligee after due hearing and after the former has failed to remove the same within a reasonable time fixed by the court.
Rule 39, Section 10 — Execution of judgments for specific act. Read the full provision →
A special order is a separate step from the writ of execution
The writ that lets the sheriff restore possession of real property to the winning party does not, by itself, authorize tearing down whatever is standing on it. Removing improvements constructed or planted by the judgment obligor or his agent requires its own special order of the court — a distinct step the winning party has to actually request and obtain.
Three things have to happen first
Before the court will issue that special order, the rule requires the judgment obligee to file a motion, a hearing on that motion, and proof that the judgment obligor failed to remove the improvement within a reasonable time the court fixed. The occupant is meant to get a real chance to remove their own structure or belongings before the sheriff does it for them.
Restoring possession still happens on the ordinary writ
None of this delays the underlying restoration of possession: the sheriff can still demand that the losing party and anyone claiming rights under them peaceably vacate the property, and can oust them with the help of peace officers if they refuse. What the ordinary writ does not cover is tearing down what is left standing — that step waits for its own special order.
Why the extra step exists
Demolition destroys property that may have real value, so the rule builds in a hearing rather than leaving it to the sheriff's discretion at the moment of eviction. Anyone facing a possible demolition of their house or other improvement should check whether the winning party has actually obtained a special order for it, and not simply assume that eviction under the writ automatically authorizes tearing the structure down. The reasonable time the court fixes to remove the improvement gives the occupant one more chance before a demolition order can even be sought.