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Depends on what kind of fiber the storage switch is using. Storage devices that use fiber often use a technology called Fibre Channel. The fiber, itself, between storage devices and network devices might be the same, but the Fibre Channel interfaces are different from fiber Ethernet. (I.e. similar problem with Ethernet and TokenRing; both use copper, but they use it differently.)
If the storage switch is using Ethernet fiber, then the two devices might be able to communicate. However, there are multiple kinds of Ethernet fiber (both the interfaces [similar to Ethernet, FastEthernet, GigEthernet] and the fiber itself [similar to CAT3, CAT5, CAT6]). Basically Ethernet fiber comes in different bandwidths (e.g. 100 Mbps, gig, etc.) and "distances" (SX, LX, etc.). Unlike multi-speed copper Ethernet, Ethernet fiber needs to be an exact match on both ends of the physical link.
(This complexity is why Paolo was suggesting a consultant be retained.)
Assuming you're able to get the two devices to "talk", then you have another consideration. Storage devices can be very bandwidth demanding, which is why Leo cautions against using a 3750. Earlier models are not wire-speed capable across all their ports, concurrently. Later models are, but they don't provide deep buffering for aggregate congestion (i.e. more than 1 port sending to 1 port).
The above is a long way of saying, yes it might be possible, but even if it is, there's much to understand to make it work and much to understand about how well it might work.
