I want to execute a imported function on a button click, but I get an error that its undefined.
local LazyComp = require('plugins/LazyComp/LazyComp')
vim.api.nvim_set_keymap('n', '<Tab>', "LazyComp.getFile()<cr>", {expr = true, noremap = true})
You need to provide a vim script expression in that mapping. Not a Lua function call. There's no way to get that local variable called from nvim through a string.
I'm no expert in nvim's Lua API but 1 minute of websearch gave me this solution:
vim.api.nvim_set_keymap('n', '<TAB>', "<cmd>lua require('plugins/LazyComp/LazyComp').getFile()<CR>")
Alternatively you need to make your module available globally.
_G.LazyComp = require('plugins/LazyComp/LazyComp')
Then you should be able to access the global environemt through v:lua
vim.api.nvim_set_keymap('n', '<TAB>', "v:lua.LazyComp.getFile()<CR>")
Both untested.