Yes, since you each paid half.

But, if the money came out of a joint account (that is you really don't know whose money paid it), you can split  it any way you want. You may want to experiment. Be aware, if one of you itemizes, the the other must too.  The other cannot use the standard deduction.

But a bigger question, is why are you filing separately. You will, almost always, pay more tax that way. see 

https://ttlc.intuit.com/questions/1894449-is-it-better-for-a-married-couple-to-file-jointly-or-separ...