No you will need to order one of our British Army Service Papers searches. The vast majority of service papers, attestations, discharge and pension documents have not been digitalised, though some genealogy websites offer a pay-per-view service on a number of classes within the War Office records.

After the 11th January 1858 the responsibility for Probate was transferred from the church courts to central government. All Wills and administrations since then are arranged yearly in alphabetical order of surname, so it is useful to know a date of death as a starting date from which we can base our search.
The majority of indexes are large books similar to the old General Register Offices indexes and probably weigh the same (about 2 kilos), some of the more recent indexes (from 1993-1996) are on microfiche and from 1996-present are on computer. The latter is quite difficult to search - the options are quite restrictive - if your date of death is wrong then a Will won't be found and  therefore it is necessary to employ more creative search methods!
  The indexes contain an abstract of the Will, namely surname and first name, address, occupation (on the more older indexes), date of death, probate office where the Will was proved, date the Will was proved, computer or folio number if applicable. Executors and next of kin are sometimes mentioned in the older indexes, but not on the more recent ones, the gross and net size of the estate is also mentioned in some of the indexes.
  Once an entry in the indexes has been identified, an application can be made for both the Will and Grant or Administration if only that has been identified.

When a Will is not found - Not all Wills are available!
If Probate has not been granted, there will be no record of any Will. Probate is not required if the estate is small, or if the majority of assets are held jointly, and financial institutions agree to release any monies to the administrators. In such cases, the Will may never become a public record. Sometimes Probate is not sought until many years after the death of the deceased, so a longer search should always be considered.

Not all Service Records are available:

The contents of WW1 Soldiers death certificates are as follows:

Regimental Number
Rank
Full name of deceased
Age at death
Country of Birth
Date of death
Place of death
Cause of death*

*Not in detail, i.e. Killed in action. You will need to order a search of the War Diary for the possibility of finding out how your soldier died.