Amplifier Help for 8 ohm speaker
THE FIRST CUT:

The short answer is "You can't", since 5 VPP equals about 1.77 volts RMS and  the most current you can push through an 8 ohm load with that voltage across it is:

$$I=\frac{E}{R}= \frac{1.77V}{8\Omega}= 0.221 \ amperes, $$

and that's not even considering transistor losses.

SLICING A LITTLE FINER,

Since you have an 8 ohm loudspeaker which is rated to dissipate 0.2 watts and, since

$$ P =\ I^2R, $$

we can rearrange that relationship to solve for the current needed to get that power like this:

$$ I=\sqrt{\frac{P}{R}}=\sqrt{\frac{0.2W}{8\Omega}}= 0.025\ amperes $$

Then, since we need to relate that to the voltage required for that charge to flow, we can say

$$E=IR= 0.025A\times  8\Omega = 0.2V  $$

So, it looks like you've got a lot of wiggle room.