Were some groups in the Soviet Union more likely to collaborate with the Germans than others?

Yes

There were many national and non-national groups that were for various reasons opposed to Soviet Union and considered the Third Reich as a lesser evil. Each had its own reasons for that. Let's mention some of them :

• Western Ukrainians (from Galicia) . Galicia was not part of the Russian Empire before WW1. It belonged to Austria-Hungary. The Austrians carefully nurtured Ukrainian nationalism, and supported the creation of a Ukrainian nation in order to undermine both the Russian Empire (which held modern Central and Eastern Ukraine) and the Polish independence movement. This went from language to religious separatism (such as creation of a Greek-Catholic church, with Eastern rite but loyal to Rome). After WW1, Western Ukraine did not belong to the USSR; it was part of Poland with subsequent attempts at Polonization. Only in 1939 after the fall of Poland, the Soviets acquired this land. With subsequent Stalinist rule, a good number of people there increased their hatred towards Moscow, Communism, and Jews (which were seen as communist collaborators) . Therefore, the Germans did have a lot of support from Ukrainian leaders like Stepan Bandera, at least initially in 1941, before they realized that the Germans were not willing to give them statehood or even large autonomy. Some Ukrainians supported the Germans even late in the war, thus the creation of formations like the 14th Waffen Grenadier Division of the SS (1st Galician), but also informal formations like the Trawniki men.

• Baltic nations. The Soviet Union occupied the Baltic states only in 1940. Therefore, there was not much love among the populations of these countries for Soviets, especially after they experienced Stalinist rule . The Germans were not prepared to restore their statehood; nevertheless, they were seen as a lesser evil; therefore there were formations like the 15th Waffen Grenadier Division of the SS (1st Latvian), the 20th Waffen Grenadier Division of the SS (1st Estonian), the, Lithuanian Territorial Defense Force, and others.

• Crimean Tatars and other Muslim nationalities. The Crimean Tatars were singled out as a "traitorous nationality" and deported from Crimea in 1944 after the Soviets recaptured it. The behavior of the Tatars and some other Caucasus nationalities in 1942-43 when Germans occupied these territories is a matter of debate. Nevertheless, there is some truth in the notion that some of them did support the Germans, enlisting in various "legions" and generally performed anti-Soviet activities.

• Cossacks. Cossacks were seen as a threat to the revolution long before WW2, due to their loyalty to the Russian Imperial dynasty. The Soviet Union pursued the so called Decossackization, the purpose of it was simply destruction of the Cossacks as a separate entity. No wonder that the remaining Cossacks wanted revenge on the Soviet regime and Communists in general, even if that meant joining the Germans. Therefore, under the command of Helmuth von Pannwitz, many Cossacks served in formations like the 1st Cossack Cavalry Division or the XV SS Cossack Cavalry Corps.

• the Russian peasantry and rural clergy. Finally, we should mention that a large part of the Soviet population, especially those living in villages, were willing to at least obey German rule if not actively collaborate. This goes especially for peasants, who were hit hardest in Soviet times by the policy of Kolkhoziation, and used their first opportunity to grab some land back when Soviet power fell and German occupation started. In some places, the Germans actually accepted this and only demanded a certain part of the crops (10-20%) as taxes. As a rule, the more freedom Germans gave to peasants, and the less reprisals they inflicted for partisan actions, the less trouble they had in the region. The local clergy, persecuted by the Communists, sometimes actively worked to pacify the population. Especially in those areas where the Germans allowed some kind of religious liberty, as we can see from the pictures in this link. Overall, with little cost to themselves, the Germans could have achieved at least benevolent neutrality in rural regions of Russia.