Not really. The German army at the time of Hitler's ascension to power was limited by the Versailles treaty to 100 000 men.

The Reichswehr (the army) had under von Seeckt been reformed into an apolitical and professional force, where the NCOs were trained to officer standard and regular soldiers to NCO standards, in order for the army to expand rapidly in case of war. There were also an illegal reserve of some 300 000-500 000 men in the so-called Schwarzer Reichswehr (black army), which also included tests with armoured vehicles (that were banned by the Versailles treaty) together with the Soviets in Kazan and German engineers working in foreign firms owned by German companies (either directly or through shell companies) such as HiH Siderius (artillery) and IvS (submarines) in the Netherlands, Oerlikon (AA guns and aircraft guns) in Switzerland, Chrichton-Vulcan (submarines) in Finland, Landsverk (tanks) and Bofors (artillery and AA guns) in Sweden.

Hitler thus inherited a very competent and professional, but also very small force, with ww1 vintage arms hidden and some reserves trained in the Schwarzer Reichswehr. The army was conservative, but also apolitical, with the idea that they were loyal to Germany, not to a specific government. In fact, the German constitution forbade the members of the Reichswehr to vote in elections or be members of political parties.

Early during their reign, the nazis were still dependent on parliamentary support from the conservatives and general support from the big industry, the army and the old elite of Germany. After the nazi rise to power, the question on how the army should be rebuilt was debated, and Ernst Röhm, leader of the SA wanted the army to merge with the SA and the new army to be built around his organisation. This was unacceptable to the army, the conservatives and the old elite, and the result was the night of the long knives in 1934 where Röhm and his supporters were rounded up, arrested and executed. Thus the army would remain separate from the nazi party.

Hitler re-introduced conscription in 1935 and thus began the public expansion of the German army, which would go from 100 000 in 1933 to around 13 million at its peak in 1942.

As /u/halfcafsociopath say, Hitler had an increasing tendency to promote loyal yes-men to top military command, but in general, the army continued to be an organisation separated from the nazi party and its increasing hold on the German state. The nazis resented this, and answered by expanding their own private army, the Waffen SS into a formation of nearly 40 divisions (of which the vast majority were brigade-sized and consisted of 2nd ord 3rd line troops only fit for garrison duty).

The nazi party had 2 million members in 1933, which climbed to 5,3 million in 1939 and peaked at 8 million in 1945 (roughly 10% of the population).

So, when Hitler assumed power, the army was made up of soldiers that were not members of the nazi party, and the army resisted being re-built around the nazi die-hard SA. While there were many soldiers and officers who were later members of the nazi party, and Hitler had a tendency to promote loyal yes-men, preferably ardent nazis, the army in general remained more conservative than nazi.

It still obeyed orders and conducted war crimes on a massive scale, especially on the east front, though.