Yes,
If you've got a PSU with a variable current-limit (and a good output, i.e. greater than 1A continuous!) connect the "unknown resistance" to this via a DC ammeter. Start with the current-limit set to a low value. Set the PSU to a low voltage, and then bring up the current limit so that 1A flows through the "unknown resistor". Then measure the voltage across the sample. R=V/I , so 1V=1R. The PSU is acting as a chunky "constant current source".
BTW, I once did this and got screwy results- make sure that you place the voltmeter across the resistor only. I had it connected from the +V and 0V of the PSU, forgetting about the slight (but significant) resistance of the leads and ammeter :roll:
A good method is to get a pair of nice big all-metal earth terminal blocks. Connect heavy-gauge leads to the PSU and ammeter, and then connect the voltmeter leads directly to the blocks, and place the specimen directly between the blocks. The screw terminals keep everything nice and tight, and the large area of the blocks equate to a low resistance, and ensure that the voltage across the resistor leads is what you're measuring (you'd be surprised by the resistance of a 4mm plug lead connected to a croc-clip lead connected to a resistor leg, it really starts having an effect at 1A!)
Mark