Yes, as has been referenced many times, Congress can create an Article of Impeachment around anything they please. Obstruction of Justice being one of the more obvious.
The House of Representatives shall chuse their Speaker and other Officers; and shall have the sole Power of Impeachment.
The Constitution provides no other guidance on the limitations of an charge of impeachment.
As to the trial of an impeachment trial, the Constitution is likewise very concise:
The Senate shall have the sole Power to try all Impeachments. When sitting for that Purpose, they shall be on Oath or Affirmation. When the President of the United States is tried, the Chief Justice shall preside: And no Person shall be convicted without the Concurrence of two thirds of the Members present.
As to the penalty (judgement) upon conviction:
Judgment in Cases of Impeachment shall not extend further than to removal from Office, and disqualification to hold and enjoy any Office of honor, Trust or Profit under the United States: but the Party convicted shall nevertheless be liable and subject to Indictment, Trial, Judgment and Punishment, according to Law.
Note that the Constitution limits the extent of the punishment, which gives leave for the Senate to "sentence" a person convicted to a punishment that is less extreme than removal and disqualification.
Additional information: An comprehensive report was written by the Congressional Research Service on Impeachment and Removal in 2015. It can be found here
One of the more interesting takeaways in this report is:
Impeachable conduct does not appear to be limited to criminal behavior.
Congress has identified three general types of conduct that constitute grounds for
impeachment, although these categories should not be understood as exhaustive:
(1) improperly exceeding or abusing the powers of the office; (2) behavior
incompatible with the function and purpose of the office; and (3) misusing the
office for an improper purpose or for personal gain.