Can you get pregnant a day or 2 before your period is due?

Is it possible to get pregnant a day or two before your period.. Glow told me I ovulated somewhere between 24th - 30th of January I didn't actually do any tests to confirm I just went with it and had sex on all of the days, i had sex a couple of days before my period was due and I am now 5 days late I did a test yesturday it showed up with a very dark pink line and another vvvfl took another test today and looks like a BFN just wondered if I ovulated late or got pregnant just before my period was due then this maybe the reason it's not showing on the test yet? 

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