The phrase "a later attempt to" is correct and usable in written English.
You can use it when referring to a subsequent effort or endeavor made after an initial attempt.
Example: "After the initial failure, the team made a later attempt to improve the design of the product."
Alternatives: "a subsequent effort to" or "a following attempt to".
A later attempt to sell Americans on a small Mercedes hatchback, the C230, also fell flat.
A later attempt to make the Mayor into a Mussolini-like figure falls flat.
A later attempt to throw off the vassalage brought another Delhi army; Ramachandra was imprisoned but was later released and remained loyal to Delhi until his death.
An attempt to take control over parts of Mozambique in 1890 91 was thwarted by the Anglo-Portuguese Convention of 1891, and a later attempt to secure the Bechuanaland Protectorate (now Botswana) also failed.
The purchase was rejected by the building's co-op board, and Mr. Rosenthal said that a later attempt to negotiate with one of his landlords, Henry Schwartz, to buy out the remaining two years on his lease came to no avail.
A later attempt to revive the proposal failed in 1979.
A player on the batting team who reaches a base safely can later attempt to advance to subsequent bases during teammates' turns batting, such as on a hit or by other means.
However, if parasites do survive in an extravascular refuge and later attempt to reinvade the blood, they would be killed on reaching the blood given the chemoprophylactic drug's long-lasting action.
The film charts Ernesto "Che" Guevara's pivotal role in the Cuban revolution of 1959 and his disastrous later attempt to spark a similar uprising in 1960s Bolivia.
A couple of stats that you might want to throw into the equation before answering that question are (1) 11 of the last 12 Champion Chase winners who returned a year later attempting to defend their title were beaten (and 10 of those started in the first two in the betting) and (2) the last 11 winners had all run since Christmas.
Taylor regretted the decision, and less than a month later attempted to renege.
