No, they cannot. If you try to do it, you'll just end up with weak spellcasting in both categories. The closest you'll get is the Bard, which has a versatile spell list that includes both cleric-style curatives and wizard-style debuffing spells. However, bards lack direct offensive spells.

-High magic damage potential: Wizard and Sorcerer do this best. Cleric, Druid, Favored Soul, and Spirit Shaman are competent at higher levels, but lack access to these kinds of spells at lower levels.
-Can be a decent healer: Cleric, Druid, Favored Soul, Spirit Shaman, and Bard are your options for healing. If you don't mind shelling out a nominal fee to merchants, the "heal" skill can be used to improve the efficiency of healing kits to very high levels.
-Can preform arcane and divine spells?: Bard has the varied spell list you're looking for, although it's missing stuff on either side of the fence. Technically speaking, all of the Bard's spells are arcane, even the ones that duplicate divine spells.
-Can unlock most locks and detect/disable most traps: Rogues and Bards are ideal for this role, although Rogues can't normally cast spells. Wizards can function in this role in a pinch, using the Able Learner feat to invest in cross-class skills without penalty.
-Decent tanking ability : anything that isn't a Wizard or Sorcerer, and even those two can be competent tanks at higher levels (it's a matter of how many spells you want to sink into defense).
-Class build works with other races, not just human : that's a relatively small requirement. Humans are the best and most flexible race overall, but there are plenty of other options for other classes.

So basically, you want to do everything. You'll have to give up at least some of these categories. Given that, these are my suggestions:

Cleric
14 str, 12 dex, 14 con, 14 int, 16 wis, 8 cha
Domains: Fire, Time

You'll sacrifice the ability to disable traps (trust me, you won't have the skill points for it), and thanks to the fire domain you'll have decent offensive magic at the 5th level (which is really early by the standards of divine casters). While you'll miss out on the more expansive spell list of the wizard, this fits your other points quite nicely.

Bard
12 str, 14 dex, 14 con, 14 int, 8 wis, 16 cha

This will be less tanky than a Cleric, but won't be too fragile. Nor will never have access to strong damage-dealing magic like a Wizard or Sorcerer would.


Wizard
12 str, 14 dex, 14 con, 18 int, 8 wis, 8 cha

You give up on being a tank, you won't have access to Cleric spells, and your ability to disarm traps and open looks will be marginal at best. However, no other class even comes close to this one for raw explosive power. If having the most powerful damage-dealing spells is your one non-negotiable, then this is really the only option. Use the Able Learner feat in order to invest in cross-class skills without penalty.