Most likely yes. There are two requirements to creating a corporeal Patronus: raw skill & ability, as stated in "Wonderbook: Book of Spells":
The Patronus Charm is difficult, and many witches and wizards are unable to produce a full, corporeal Patronus...
and a sufficiently happy memory, as stated by Harry:
Make it a powerful memory, the happiest you can remember. Allow it to fill you up… Just remember, your Patronus can only protect you as long as you stay focused… Think of the happiest thing you can
Neville is not limited by his magical knowledge or skill level, as we see him master the Boggart-Banishing Spell relatively quickly, he achieves an 'Exceeds Expectations' on his O.W.L. exam for Defense Against the Dark Arts, and he usually escapes most battles with minimal injuries despite taking an active role in said battles (Battle of the Department of Mysteries and Battle of Hogwarts).
As far as a sufficiently happy memory, we know that to conjure a Patronus, the "happy memory" the caster draws from only need to be happy or good in the subjective sense, as Dolores Umbridge casts one with ease. Also, the memory itself doesn't necessarily need to have made you happy at the time that it occurred, as long as the memory brings you happiness when you think about it in the moment. We know this as Harry is seen casting a corporeal Patronus when only thinking of the faces of his friends and not a specific memory about them.
In conclusion, there shouldn't be anything holding Neville back from creating a fully corporeal Patronus as long as he can find a memory that makes him sufficiently happy in the moment.