This would work with a few remarks:
1. LM358 is not a rail-to-rail OP Amp so you will need to power it at minimum 6.5V to have a range of 0.5V to 4.5V in the first Op Amp.
2. 0.1uF cap at the second Op Amp output is a no-no. The second Op Amp is prone to oscillate. Insert a small resistor between the Op Amp output and cap to avoid instability. Another way is to move the filter cap C2 in parallel with R2 and recalculate its value.
3. Are you going to use the full range of 0.5V to 4.5V ? In other words, is your application designed for -2 to +2 kPa? If not, if for example you need just 0 to +2 kPa, then you will waste half of your ADC dynamic range. This, in effect, means lower ADC resolution.