No.
Character Advancement
When adding new levels of an existing class or adding levels of a new
class (see Multiclassing, below), make sure to take the following
steps in order. First, select your new class level. You must be able
to qualify for this level before any of the following adjustments are
made. Second, apply any ability score increases due to gaining a
level. Third, integrate all of the level's class abilities and then
roll for additional hit points. Finally, add new skills and feats.
The order of how you level matters. You're allowed take a feat the same level you gain the prerequisites only because gaining feats is the last thing you do. If the prerequisite is a skill, spell, or ability, you already have it by the time you take the feat.
Of course, if the prerequisite is another feat, you must already have the prerequisite feat before you can take the desired feat. However, since character advancement is an ordered process, if you gain multiple feats in a level1, you can choose to take the prerequisite feat first. You can now take the desired feat.
In your example, you can take neither feat first since neither feat has its prerequisite met.
1 Class abilities that give bonus feats give them at the time you normally add new feats (after skill points). It's unclear if you choose your standard feat before your bonus feat or vice versa, but I would generally allow players to select feats in any order if it matters.
There's a feat called Open Minded in 3.5 that gives you five extra skill points, so it could be used together with this feat. It would stack with Skill Focus etc, and might help you meet the prereqs of some otherwise unavailable feat.
Best Answer
Yes.
The d20 SRD has this to say about feat prerequisites:
It's perfectly okay to use your first-level skill points to qualify you for this feat.