No. In Palworld v1.0.3, Xenogard cannot get Lucky under currently verified methods (no Pal obtains it directly). We found no obtainable path in any supported older version either. This may change in a future patch; we re-check every version. The facts behind this answer are graded B and come from 2 registered sources.
Reason
Attack +15%; Defense +15%; Work Speed +20%
Rank
4
Random pool
No
Other Pals
0
Xenogard breeding recipes
1
Fixed passives on Xenogard
1
Custom slots available
3
Verified evidence claims behind this verdict
2
Xenogard parent pairs with a direct source of Lucky
0 of 1
Lucky breeding route for Xenogard: 0 of 1 parent pair include a direct source.
Why
No Pal can obtain Lucky directly in v1.0.3 under verified methods, so there is nothing to inherit from.
Lucky was not obtainable on Xenogard in any supported version.
How Lucky can be acquired on Xenogard in v1.0.3
Current method
Available for Xenogard?
Note
Fixed / innate
No
Xenogard is born carrying Otherworldly Cells, not Lucky.
Random pool (catch or hatch)
No
Lucky: no verified rule puts it in the random pool for Xenogard.
Implant (Surgery Table)
No
Lucky: no verified item method grants it here.
Breeding inheritance
No
No Pal can obtain Lucky directly in v1.0.3 under verified methods, so there is nothing to inherit from.
Verdict per requested component on Xenogard in Palworld v1.0.3