Yes. There are two different meanings of "to execute" in law. Also note that terms can vary in different jurisdictions. In the UK, most people wouldn't use 'to execute' when signing a Will - they'd just sign it.
1. To bring a written document into effect.
Any mark made by the testator on the document validates the will,
provided that they intended it to be their signature, and that this
signature is meant to execute the will.
The Witness Requirement to Execute a Will
A will typically must be properly witnessed to be valid.
Amendments to a will can only be made while executing a will or after
the date of execution of the will. Amendments to a will must comply
with the same requirements for a valid will and if you cannot write,
with the same requirements listed under that heading.
The term "execute" is not restricted to Wills:
When a person "executes" a document, he or she signs it with the
proper "formalities". For example: If there is a legal requirement
that the signature on the document be witnessed, the person executes
the document by signing it in the presence of the required number of
Documents are most commonly executed as simple contracts. ...
Deeds can also be advantageous even when they are not strictly
required by law. For example, if only one party under a contract is
receiving a real benefit from an agreement, it would be advisable
under English law to execute the contract as a deed so that it is not
void for lack of consideration. Another potential advantage of deeds
is that they have a longer statutory limitation period than contracts:
However, a deed requires some additional execution formality beyond a
simple signature. Deeds must be in writing and will typically be
executed in the presence of a witness, although in the case of a
company a deed may be executed effectively by two directors or a
director and the company secretary.
2. To carry out the instructions in a Will of a deceased person (in the UK the corresponding role in relation to an intestate estate is an administrator).
An executor (male) or executrix (female) is the person named in a will
to perform these duties. An administrator (male) or administratrix
(female) is the person appointed by the probate court to complete
these tasks when there is no will or no executor or executrix has been
named in the will.
Executors and Administrators are responsible for administering the
Estate of someone who has died. They are known collectively as
The Executor’s authority is taken from the Will, and comes into effect
immediately on the death of the person who made the Will. In theory,
the Executor can exercise all their powers from the date of death.