R help - Jun 2014 - Any refit function available for 'car' package?

Suppose that I need to run a multivariate linear model

Y = X B + E

many times with the same model matrix X but each time with different
response matrix Y. Is there a function available in 'car' package
similar to refit() in lme4 package so that the model matrix X would
not be reassembled each time? Also, runtime can be saved without
repeatedly performing the same matrix computations such as
(X'X)^(-1)X'.

Thanks,
Gang