It may take a bit of work, but not impossible.
If he was born in 1941 it highly unlikely that his birth was not registered.
The problem is, under what name?

If he was registered under his mother's name but later used his father's then the Registrar would be unable to find him.

The birth indices are available on LDS microfilms:
0454954 - Douglas 1821-1942
0454955 - Douglas 1934-1964
0454956 - Ramsey, Peel, Castletown

Lonan (Laxey) comes under Douglas.
The indices are arrange alphabetically and then by year (no day or month given)

It would not take very long to go through the film to find all the Lonan births for 1941.

Of course weeding out the results could take a bit longer.