Yes? They’ve been pushing for “pauses” (can’t call it a cease fire, too unpopular I guess) in fighting and to get through Israel’s blockade to get more humanitarian relief to Gaza for months now. You could argue not forcefully enough (I would, though who knows what goes on privately in diplomatic negotiations), but blaming Biden for the blockade is just misinformation.
The United States has contributed at least an additional $121 million in funding and humanitarian supplies since October. Probably much more in actuality since many of the UN relief agencies with boots on the ground are heavily funded by the US.
Attack the US all you want on continuing to allow weapon sales to Israelis and other misdeeds, but you don’t need go over the top and start introducing misinformation as well. There’s enough they do wrong to attack them on without making up new stuff as well.
And your US defending the red sea to get more weapons to Israel doesn’t even make sense. Weapons from the US and Europe have a much more direct path than going all the way around the cape of good hope and then the horn of Africa. If you need a more real politik reason besides the obvious ones like the US doesn’t like threats to the global economy, a more likely reason would be the houthis targeting all oil freighters except Russia’s, oil that will become more valuable if other sources are shut down and help fund the war against Ukraine.