Upvote:-2
No. Once awarded, that is it.It is a one off.
Upvote:1
The difference between the geshe degrees is comparable to the grade you get on an exam.
From TibetCulture.net:
Geshe Lharampa is the highest degree of the Geshe system, equivalent to the doctorate degree in Buddhist studies. The other three lower-level degrees, namely Dorampa, Lingtse and Tsorampa, will also be conferred according to candidates' performance in the dialectical debate.
And:
Such a challenge as it is, it usually takes decades for a few distinguished lamas to succeed.