Unwillingly?
Possibly. I can't really say for sure.
Here's what I do think is accurate. Trump loves to be loved. If the Russian government buddies up to him, his desire to be liked could allow them to plant seeds into his head.
I'm not saying that it is happening or has.
However, I have to ask this.
When did Trump know about this? Reports are that he knew 18 days before everyone else.
Reports are also that he hid this from his own VP.
Why?
This is sort of like the birther stuff. When you step back and think about it, it really makes no sense.
If I'm following the current line of thinking about these "seedy Russian ties" (not by you):
1. At some point during the presidential election cycle, someone from the Russian government was in contact with Trump in an effort to gain some kind of favor if he was elected president.
2. Someone in the Russian government then worked with WikiLeaks to hack Podesta's email, obtaining truthful information, which WikiLeaks then released, in cooperation with Trump.
3. The release of this information caused Trump to be elected president.
4. Trump is now beholden to Russia, and will be doing some unspecified acts that benefit Russia.
Sounds pretty loony.