Absolutely not. Lenin wrote a series of letters on his deathbed which praise Trotsky and warn against Stalin:

Comrade Stalin, having become Secretary-General, has unlimited authority concentrated in his hands, and I am not sure whether he will always be capable of using that authority with sufficient caution. Comrade Trotsky, on the other hand… is personally perhaps the most capable man in the present C.C.

Stalin is too rude and this defect, although quite tolerable in our midst and in dealing among us Communists, becomes intolerable in a Secretary-General. That is why I suggest that the comrades think about a way of removing Stalin from that post and appointing another man in his stead who in all other respects differs from Comrade Stalin in having only one advantage, namely, that of being more tolerant, more loyal, more polite and more considerate to the comrades, less capricious, etc.

After Lenin’s death, Stalin suppressed these documents, and through political ploys, made sure that Trotsky was out of the picture. He made himself out to be the heir of Lenin, while Lenin said otherwise.