Yes,that's possible,provided the speed of current is not too high & the particle size is not too small.What happens is sediments do accumulate when 1) the substratum is rough (as in case of corals) & 2) rate is more during the NIL tide.By NIL tide I mean the time in between the very last fag end of low tide & beginning of high tide & vice-versa.Though in tide tables it is usually given that ,say, a high tide stops at time X & the low tide starts soon after,but in fields it has been observed that there is a time lag of say 30 to 45 minutes- when the sea water is quite still,after which water actually starts moving.It's at this time the sediment rate is more.

What is the range when you mean speed of current not too high and particle size not too small??? can you please specify the range to me

If the speed of currents is say less than one knot & the particle size is over 10 microns.