Not really initially, but yes afterwards.
Many news articles have noted that the White House doesn't seem to have a consensus on this initially, especially the split in opinions between Trump and his cabinet members.
The Washington Post:
Secretary of State Rex Tillerson called on a Saudi Arabia-led bloc of Arab nations Friday to immediately ease their blockade of Qatar and urged all involved in the week-long Persian Gulf dispute to quickly resolve their differences, remarks that President Trump seemed to undercut less than an hour later.
But Trump’s tone struck a marked contrast with comments by the US secretary of state, who just an hour earlier urged Saudi Arabia, the United Arab Emirates, Egypt and Bahrain to ease their blockade of Qatar.
However, Trump offered assistance in a phone call with the Qatari Emir a day after and his new tone seemed in line with his cabinet members.
Trump's new tone echoed that of his secretaries of Defense and State, who emphasized Tuesday the need for Gulf unity and the importance of the US partnership with Qatar, home to the Al Udeid Air Base, the main regional center for air missions against ISIS.
President Trump seemingly personally agrees with Saudi Arabia's decision, as evident from his tweets:
During my recent trip to the Middle East I stated that there can no longer be funding of Radical Ideology. Leaders pointed to Qatar - look!
So good to see the Saudi Arabia visit with the King and 50 countries already paying off. They said they would take a hard line on funding...
...extremism, and all reference was pointing to Qatar. Perhaps this will be the beginning of the end to the horror of terrorism!
However, Trump seemed to have changed course afterwards, in a phone call with the Qatari Emir.
Secretary of State Rex Tillerson called for the countries involved to ease the blockage and expect the countries to try to de-escalate the situation.
Others must also continue to eliminate factions of support for violent organizations within their own borders. Again, that was a commitment made by all at the summit. We call on the Kingdom of Saudi Arabia, the United Arab Emirates, Bahrain, and Egypt to ease the blockade against Qatar.
[ ... ]
Our expectation is that these countries will immediately take steps to de-escalate the situation and put forth a good-faith effort to resolve their grievances they have with each other.
Defence Secretary James Mattis told the House Armed Services Committee that it is "very complex situation" and hoped for common ground to be found.