You can dive in all sorts of current so long as you're not trying to go against it.
If you're diving from a 'live boat', such as are often found in resort destinations, just ensure you have a spool and an impressively sized Surface Marker Bouy. (Remember that if swells are 2-3' and waves are 2'-3', then a 6' tall SMB is going to be only marginally visible from the deck of the boat...) The boat comes to your location after you surface.
If you're trying to surface at a fixed point, on the other hand, such as when the boat is tied into a wreck, or when you need to exit the water at a specific point on shore, diving with strong currents gets a bit more tricky.
The answer to your specific question depends on many factors, such as what sort of physical condition the diver is in, or what sort of activity is going on around the diver (so that if the diver gets swept away some other boat might spot you and pick you up), and the answers you'll get are going to vary accordingly. For example, a diver may be able to put on a burst of energy and with great effort swim against the current to reach the swim platform some 5' away. But the same diver surfacing 35' away from the swim platform isn't going to make it.
In general, for all divers but for new divers particularly, the best way to deal with an emergency is to avoid it in the first place.
Don't be afraid to call a dive if the conditions become too adverse, and never be concerned about thumbing a dive when it becomes apparent that the currents are too strong. Getting blown off a wreck by strong current is inconvenient under the best circumstances, and may end up with you drifting for a considerable length of time under worst-case circumstances (which might include fog, rainstorms, or nightfall).
And just for the sake of comparison, a 3+ knot current is a ripping current wearing a drysuit with double tanks in cold water,...in my humble opinion. You can fight against it for awhile, but you'll wear yourself out pretty quick. Unless you're diving off a live boat, I suggest you think twice before jumping into a 3+ knot current and trying to ensure you surface precisely where you need to surface to get back onto the boat. Just MHO...
Best,
Doc