Constructing the Confusion matrix from given metrics
[edit thanks to comment] I'm assuming this is a binary classifier, since normally a multi-class classifier would not be evaluated with precision/recall (it would require micro/macro precision/recall).

Yes, that should be enough:  


accuracy = 92.7%: 


$$\frac{TP+TN}{110}=0.927 \rightarrow TP+TN=101.97$$

This means we have 102 correct predictions, so $FP+FN= 8$ incorrect predictions (since $TP+FP+TN+FN=110$).


precision = 96.9%:


$$\frac{TP}{TP+FP}=0.969 \rightarrow TP=31.258\times FP$$


recall = 95%:


$$\frac{TP}{TP+FN}=0.950 \rightarrow TP=19 \times FN$$

This gives us:

$$\frac{TP}{31.258}+\frac{TP}{19}=8 \rightarrow TP = 94.6$$

let's assume that means 95 true positive instances, so we get:


$FP = 3$
$FN = 5$
$TN = 7$