No, this is not an allowable cost unless there is specific sponsor approval for this cost.
Visa/Relocation costs are allowable and should be allocated to the Award(s) for which the staff member will be allocating his/her time. Visa/Relocation costs cannot be covered based on budgetary convenience.
First, check the sponsor regulations to ensure the expense is allowable. If the expense is allowable then costs can be allocated across more than one Award so long as that allocation is in proportion to the benefit provided to each Award, i.e. the allocation of the visa cost matches the effort that the person will be expending on each Award. For example, if the person’s effort is allocated 80/20 between two budgets, then the H1-B visa cost should also be allocated on a similar 80/20 split.