I am not aware of such a feature. But indirectly, you could first search for the author name (AA.AuN in the expr-field), obtain all the (unique) various author IDs (AA.AuId in the attributes field), and search for their publications.
(You could even add orderby=logprob:desc, but to be honest, I am not 100% sure what logprob does.)
So, the first step could be to search for the author name (e.g. John Smith) like this and fetch all those AA.AuId where the names (AA.AuN) seem to fit John Smith (let's just add the orderby=logprob:desc):
https://api.labs.cognitive.microsoft.com/academic/v1.0/evaluate?&expr=Composite(AA.AuN=%27john%20smith%27)&count=100&attributes=AA.AuN,AA.AuId&orderby=logprob:desc&subscription-key={YOUR-KEY}
As a second step, if you have an Author ID AA.AuId (here, for example, 3038752200), use this to list their papers (ordered by year, in a descending manner orderby=Y:desc):
https://api.labs.cognitive.microsoft.com/academic/v1.0/evaluate?&expr=Composite(AA.AuId=3038752200)&count=100&attributes=AA.AuN,AA.AuId,DOI,Ti,VFN,Y&orderby=Y:desc&subscription-key={YOUR-KEY}
The approach would be more promising if you had an institutional affiliation as well. Then you could change the expr field to Composite(And(AA.AuN='{AUTHOR-NAME}',AA.AfId={AFFILIATION-ID})) so as to search for all {AUTHOR-NAMES} affiliated to {AFFILIATION-ID}.